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Finding the Fourth Proportional to 465,807,678.60, 698,449,336.68 and 154,748,765.90

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Solution

The fourth proportional to 465,807,678.60, 698,449,336.68 and 154,748,765.90 is: 232,036,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,807,678.60 : 698,449,336.68 = 154,748,765.90 : x
  2. Step 2: Convert to fraction form
    465,807,678.60/698,449,336.68 = 154,748,765.90/x
  3. Step 3: Cross multiply
    465,807,678.60x = 698,449,336.68 × 154,748,765.90
  4. Step 4: Simplify right side
    465,807,678.60x = 108,084,172,894,903,600
  5. Step 5: Solve for x
    x = 108,084,172,894,903,600/465,807,678.60
  6. Step 6: Final answer
    x = 232,036,048.05

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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.