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Finding the Fourth Proportional to 471,692,457.60, 707,538,686.40 and 144,167,337.60

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Solution

The fourth proportional to 471,692,457.60, 707,538,686.40 and 144,167,337.60 is: 216,251,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,692,457.60 : 707,538,686.40 = 144,167,337.60 : x
  2. Step 2: Convert to fraction form
    471,692,457.60/707,538,686.40 = 144,167,337.60/x
  3. Step 3: Cross multiply
    471,692,457.60x = 707,538,686.40 × 144,167,337.60
  4. Step 4: Simplify right side
    471,692,457.60x = 102,003,968,667,289,328
  5. Step 5: Solve for x
    x = 102,003,968,667,289,328/471,692,457.60
  6. Step 6: Final answer
    x = 216,251,006.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.