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Finding the Fourth Proportional to 517,214,110.80, 725,913,740.40 and 517,214,110.80

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Solution

The fourth proportional to 517,214,110.80, 725,913,740.40 and 517,214,110.80 is: 725,913,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,214,110.80 : 725,913,740.40 = 517,214,110.80 : x
  2. Step 2: Convert to fraction form
    517,214,110.80/725,913,740.40 = 517,214,110.80/x
  3. Step 3: Cross multiply
    517,214,110.80x = 725,913,740.40 × 517,214,110.80
  4. Step 4: Simplify right side
    517,214,110.80x = 375,452,829,758,488,064
  5. Step 5: Solve for x
    x = 375,452,829,758,488,064/517,214,110.80
  6. Step 6: Final answer
    x = 725,913,740.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.