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Finding the Fourth Proportional to 498,205,043.20, 747,307,564.80 and 498,205,043.20

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Solution

The fourth proportional to 498,205,043.20, 747,307,564.80 and 498,205,043.20 is: 747,307,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,205,043.20 : 747,307,564.80 = 498,205,043.20 : x
  2. Step 2: Convert to fraction form
    498,205,043.20/747,307,564.80 = 498,205,043.20/x
  3. Step 3: Cross multiply
    498,205,043.20x = 747,307,564.80 × 498,205,043.20
  4. Step 4: Simplify right side
    498,205,043.20x = 372,312,397,604,870,784
  5. Step 5: Solve for x
    x = 372,312,397,604,870,784/498,205,043.20
  6. Step 6: Final answer
    x = 747,307,564.80

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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.