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Finding the Fourth Proportional to 670,402,002.80, 1,005,603,004.20 and 670,402,002.80

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Solution

The fourth proportional to 670,402,002.80, 1,005,603,004.20 and 670,402,002.80 is: 1,005,603,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,402,002.80 : 1,005,603,004.20 = 670,402,002.80 : x
  2. Step 2: Convert to fraction form
    670,402,002.80/1,005,603,004.20 = 670,402,002.80/x
  3. Step 3: Cross multiply
    670,402,002.80x = 1,005,603,004.20 × 670,402,002.80
  4. Step 4: Simplify right side
    670,402,002.80x = 674,158,268,037,376,768
  5. Step 5: Solve for x
    x = 674,158,268,037,376,768/670,402,002.80
  6. Step 6: Final answer
    x = 1,005,603,004.20

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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.