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Finding the Fourth Proportional to 472,403,399.40, 708,605,099.10 and 472,403,399.40

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Solution

The fourth proportional to 472,403,399.40, 708,605,099.10 and 472,403,399.40 is: 708,605,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,403,399.40 : 708,605,099.10 = 472,403,399.40 : x
  2. Step 2: Convert to fraction form
    472,403,399.40/708,605,099.10 = 472,403,399.40/x
  3. Step 3: Cross multiply
    472,403,399.40x = 708,605,099.10 × 472,403,399.40
  4. Step 4: Simplify right side
    472,403,399.40x = 334,747,457,647,013,888
  5. Step 5: Solve for x
    x = 334,747,457,647,013,888/472,403,399.40
  6. Step 6: Final answer
    x = 708,605,099.10

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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.