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Finding the Fourth Proportional to 2,008,051,011.16, 3,012,076,516.72 and 2,008,051,011.16

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Solution

The fourth proportional to 2,008,051,011.16, 3,012,076,516.72 and 2,008,051,011.16 is: 3,012,076,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,051,011.16 : 3,012,076,516.72 = 2,008,051,011.16 : x
  2. Step 2: Convert to fraction form
    2,008,051,011.16/3,012,076,516.72 = 2,008,051,011.16/x
  3. Step 3: Cross multiply
    2,008,051,011.16x = 3,012,076,516.72 × 2,008,051,011.16
  4. Step 4: Simplify right side
    2,008,051,011.16x = 6,048,403,295,090,886,656
  5. Step 5: Solve for x
    x = 6,048,403,295,090,886,656/2,008,051,011.16
  6. Step 6: Final answer
    x = 3,012,076,516.72

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