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Finding the Fourth Proportional to 390,138,009.60, 585,207,014.40 and 160,272,062.40

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Solution

The fourth proportional to 390,138,009.60, 585,207,014.40 and 160,272,062.40 is: 240,408,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,138,009.60 : 585,207,014.40 = 160,272,062.40 : x
  2. Step 2: Convert to fraction form
    390,138,009.60/585,207,014.40 = 160,272,062.40/x
  3. Step 3: Cross multiply
    390,138,009.60x = 585,207,014.40 × 160,272,062.40
  4. Step 4: Simplify right side
    390,138,009.60x = 93,792,335,128,834,496
  5. Step 5: Solve for x
    x = 93,792,335,128,834,496/390,138,009.60
  6. Step 6: Final answer
    x = 240,408,093.60

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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.