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Finding the Fourth Proportional to 426,154,409.60, 639,231,614.40 and 288,404,902.40

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Solution

The fourth proportional to 426,154,409.60, 639,231,614.40 and 288,404,902.40 is: 432,607,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,154,409.60 : 639,231,614.40 = 288,404,902.40 : x
  2. Step 2: Convert to fraction form
    426,154,409.60/639,231,614.40 = 288,404,902.40/x
  3. Step 3: Cross multiply
    426,154,409.60x = 639,231,614.40 × 288,404,902.40
  4. Step 4: Simplify right side
    426,154,409.60x = 184,357,531,362,026,400
  5. Step 5: Solve for x
    x = 184,357,531,362,026,400/426,154,409.60
  6. Step 6: Final answer
    x = 432,607,353.60

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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.