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Finding the Fourth Proportional to 52,499,265.60, 78,748,898.40 and 52,499,265.60

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Solution

The fourth proportional to 52,499,265.60, 78,748,898.40 and 52,499,265.60 is: 78,748,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,499,265.60 : 78,748,898.40 = 52,499,265.60 : x
  2. Step 2: Convert to fraction form
    52,499,265.60/78,748,898.40 = 52,499,265.60/x
  3. Step 3: Cross multiply
    52,499,265.60x = 78,748,898.40 × 52,499,265.60
  4. Step 4: Simplify right side
    52,499,265.60x = 4,134,259,332,809,015.50
  5. Step 5: Solve for x
    x = 4,134,259,332,809,015.50/52,499,265.60
  6. Step 6: Final answer
    x = 78,748,898.40

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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.