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Finding the Fourth Proportional to 51,508,429,246.60, 77,262,643,869.90 and 51,508,429,246.60

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Solution

The fourth proportional to 51,508,429,246.60, 77,262,643,869.90 and 51,508,429,246.60 is: 77,262,643,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508,429,246.60 : 77,262,643,869.90 = 51,508,429,246.60 : x
  2. Step 2: Convert to fraction form
    51,508,429,246.60/77,262,643,869.90 = 51,508,429,246.60/x
  3. Step 3: Cross multiply
    51,508,429,246.60x = 77,262,643,869.90 × 51,508,429,246.60
  4. Step 4: Simplify right side
    51,508,429,246.60x = 3,979,677,425,177,997,082,624
  5. Step 5: Solve for x
    x = 3,979,677,425,177,997,082,624/51,508,429,246.60
  6. Step 6: Final answer
    x = 77,262,643,869.90

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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.