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Finding the Fourth Proportional to 293,363,140.35, 440,044,710.53 and 293,363,140.35

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Solution

The fourth proportional to 293,363,140.35, 440,044,710.53 and 293,363,140.35 is: 440,044,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,363,140.35 : 440,044,710.53 = 293,363,140.35 : x
  2. Step 2: Convert to fraction form
    293,363,140.35/440,044,710.53 = 293,363,140.35/x
  3. Step 3: Cross multiply
    293,363,140.35x = 440,044,710.53 × 293,363,140.35
  4. Step 4: Simplify right side
    293,363,140.35x = 129,092,898,174,020,704
  5. Step 5: Solve for x
    x = 129,092,898,174,020,704/293,363,140.35
  6. Step 6: Final answer
    x = 440,044,710.53

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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.