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Finding the Fourth Proportional to 214,602,713.60, 321,988,051.20 and 78,301,875.20

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Solution

The fourth proportional to 214,602,713.60, 321,988,051.20 and 78,301,875.20 is: 117,483,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,602,713.60 : 321,988,051.20 = 78,301,875.20 : x
  2. Step 2: Convert to fraction form
    214,602,713.60/321,988,051.20 = 78,301,875.20/x
  3. Step 3: Cross multiply
    214,602,713.60x = 321,988,051.20 × 78,301,875.20
  4. Step 4: Simplify right side
    214,602,713.60x = 25,212,268,200,953,612
  5. Step 5: Solve for x
    x = 25,212,268,200,953,612/214,602,713.60
  6. Step 6: Final answer
    x = 117,483,454.79

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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.