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Finding the Fourth Proportional to 498,528,694.10, 747,793,041.15 and 413,594,038.10

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Solution

The fourth proportional to 498,528,694.10, 747,793,041.15 and 413,594,038.10 is: 620,391,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,528,694.10 : 747,793,041.15 = 413,594,038.10 : x
  2. Step 2: Convert to fraction form
    498,528,694.10/747,793,041.15 = 413,594,038.10/x
  3. Step 3: Cross multiply
    498,528,694.10x = 747,793,041.15 × 413,594,038.10
  4. Step 4: Simplify right side
    498,528,694.10x = 309,282,743,552,307,968
  5. Step 5: Solve for x
    x = 309,282,743,552,307,968/498,528,694.10
  6. Step 6: Final answer
    x = 620,391,057.15

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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.