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Finding the Fourth Proportional to 5,877,488,809.65, 8,251,729,562.85 and 5,877,488,809.65

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Solution

The fourth proportional to 5,877,488,809.65, 8,251,729,562.85 and 5,877,488,809.65 is: 8,251,729,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,488,809.65 : 8,251,729,562.85 = 5,877,488,809.65 : x
  2. Step 2: Convert to fraction form
    5,877,488,809.65/8,251,729,562.85 = 5,877,488,809.65/x
  3. Step 3: Cross multiply
    5,877,488,809.65x = 8,251,729,562.85 × 5,877,488,809.65
  4. Step 4: Simplify right side
    5,877,488,809.65x = 48,499,448,165,908,963,328
  5. Step 5: Solve for x
    x = 48,499,448,165,908,963,328/5,877,488,809.65
  6. Step 6: Final answer
    x = 8,251,729,562.85

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