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Finding the Fourth Proportional to 2,008,050,822.90, 3,012,076,234.35 and 2,008,050,822.90

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Solution

The fourth proportional to 2,008,050,822.90, 3,012,076,234.35 and 2,008,050,822.90 is: 3,012,076,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,050,822.90 : 3,012,076,234.35 = 2,008,050,822.90 : x
  2. Step 2: Convert to fraction form
    2,008,050,822.90/3,012,076,234.35 = 2,008,050,822.90/x
  3. Step 3: Cross multiply
    2,008,050,822.90x = 3,012,076,234.35 × 2,008,050,822.90
  4. Step 4: Simplify right side
    2,008,050,822.90x = 6,048,402,161,024,051,200
  5. Step 5: Solve for x
    x = 6,048,402,161,024,051,200/2,008,050,822.90
  6. Step 6: Final answer
    x = 3,012,076,234.35

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.