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Finding the Fourth Proportional to 659,098,379.80, 988,647,569.70 and 506,514,597.40

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Solution

The fourth proportional to 659,098,379.80, 988,647,569.70 and 506,514,597.40 is: 759,771,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,098,379.80 : 988,647,569.70 = 506,514,597.40 : x
  2. Step 2: Convert to fraction form
    659,098,379.80/988,647,569.70 = 506,514,597.40/x
  3. Step 3: Cross multiply
    659,098,379.80x = 988,647,569.70 × 506,514,597.40
  4. Step 4: Simplify right side
    659,098,379.80x = 500,764,425,737,083,968
  5. Step 5: Solve for x
    x = 500,764,425,737,083,968/659,098,379.80
  6. Step 6: Final answer
    x = 759,771,896.10

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Similar ratio
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1.5x scale

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.