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Finding the Fourth Proportional to 498,528,698.35, 747,793,047.53 and 413,594,042.35

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Solution

The fourth proportional to 498,528,698.35, 747,793,047.53 and 413,594,042.35 is: 620,391,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,528,698.35 : 747,793,047.53 = 413,594,042.35 : x
  2. Step 2: Convert to fraction form
    498,528,698.35/747,793,047.53 = 413,594,042.35/x
  3. Step 3: Cross multiply
    498,528,698.35x = 747,793,047.53 × 413,594,042.35
  4. Step 4: Simplify right side
    498,528,698.35x = 309,282,749,367,090,432
  5. Step 5: Solve for x
    x = 309,282,749,367,090,432/498,528,698.35
  6. Step 6: Final answer
    x = 620,391,063.53

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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.