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Finding the Fourth Proportional to 713,025,443.64, 984,150,149.10 and 434,720,420.76

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Solution

The fourth proportional to 713,025,443.64, 984,150,149.10 and 434,720,420.76 is: 600,020,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,025,443.64 : 984,150,149.10 = 434,720,420.76 : x
  2. Step 2: Convert to fraction form
    713,025,443.64/984,150,149.10 = 434,720,420.76/x
  3. Step 3: Cross multiply
    713,025,443.64x = 984,150,149.10 × 434,720,420.76
  4. Step 4: Simplify right side
    713,025,443.64x = 427,830,166,907,768,768
  5. Step 5: Solve for x
    x = 427,830,166,907,768,768/713,025,443.64
  6. Step 6: Final answer
    x = 600,020,897.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.