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Finding the Fourth Proportional to 315,435,657.60, 472,445,697.60 and 258,812,553.60

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Solution

The fourth proportional to 315,435,657.60, 472,445,697.60 and 258,812,553.60 is: 387,638,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,435,657.60 : 472,445,697.60 = 258,812,553.60 : x
  2. Step 2: Convert to fraction form
    315,435,657.60/472,445,697.60 = 258,812,553.60/x
  3. Step 3: Cross multiply
    315,435,657.60x = 472,445,697.60 × 258,812,553.60
  4. Step 4: Simplify right side
    315,435,657.60x = 122,274,877,433,189,392
  5. Step 5: Solve for x
    x = 122,274,877,433,189,392/315,435,657.60
  6. Step 6: Final answer
    x = 387,638,095.08

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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.