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Finding the Fourth Proportional to 133,345,707.60, 200,018,561.40 and 78,702,200.40

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Solution

The fourth proportional to 133,345,707.60, 200,018,561.40 and 78,702,200.40 is: 118,053,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,345,707.60 : 200,018,561.40 = 78,702,200.40 : x
  2. Step 2: Convert to fraction form
    133,345,707.60/200,018,561.40 = 78,702,200.40/x
  3. Step 3: Cross multiply
    133,345,707.60x = 200,018,561.40 × 78,702,200.40
  4. Step 4: Simplify right side
    133,345,707.60x = 15,741,900,903,022,506
  5. Step 5: Solve for x
    x = 15,741,900,903,022,506/133,345,707.60
  6. Step 6: Final answer
    x = 118,053,300.60

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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.