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Finding the Fourth Proportional to 625,752,002.80, 877,866,789.20 and 625,752,002.80

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Solution

The fourth proportional to 625,752,002.80, 877,866,789.20 and 625,752,002.80 is: 877,866,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,752,002.80 : 877,866,789.20 = 625,752,002.80 : x
  2. Step 2: Convert to fraction form
    625,752,002.80/877,866,789.20 = 625,752,002.80/x
  3. Step 3: Cross multiply
    625,752,002.80x = 877,866,789.20 × 625,752,002.80
  4. Step 4: Simplify right side
    625,752,002.80x = 549,326,901,533,505,408
  5. Step 5: Solve for x
    x = 549,326,901,533,505,408/625,752,002.80
  6. Step 6: Final answer
    x = 877,866,789.20

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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.