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Finding the Fourth Proportional to 5,877,488,809.40, 8,251,729,562.50 and 5,877,488,809.40

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Solution

The fourth proportional to 5,877,488,809.40, 8,251,729,562.50 and 5,877,488,809.40 is: 8,251,729,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,488,809.40 : 8,251,729,562.50 = 5,877,488,809.40 : x
  2. Step 2: Convert to fraction form
    5,877,488,809.40/8,251,729,562.50 = 5,877,488,809.40/x
  3. Step 3: Cross multiply
    5,877,488,809.40x = 8,251,729,562.50 × 5,877,488,809.40
  4. Step 4: Simplify right side
    5,877,488,809.40x = 48,499,448,161,788,903,424
  5. Step 5: Solve for x
    x = 48,499,448,161,788,903,424/5,877,488,809.40
  6. Step 6: Final answer
    x = 8,251,729,562.50

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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.