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Finding the Fourth Proportional to 238,464,009.60, 357,696,014.40 and 165,904,598.40

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Solution

The fourth proportional to 238,464,009.60, 357,696,014.40 and 165,904,598.40 is: 248,856,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,464,009.60 : 357,696,014.40 = 165,904,598.40 : x
  2. Step 2: Convert to fraction form
    238,464,009.60/357,696,014.40 = 165,904,598.40/x
  3. Step 3: Cross multiply
    238,464,009.60x = 357,696,014.40 × 165,904,598.40
  4. Step 4: Simplify right side
    238,464,009.60x = 59,343,413,618,312,616
  5. Step 5: Solve for x
    x = 59,343,413,618,312,616/238,464,009.60
  6. Step 6: Final answer
    x = 248,856,897.60

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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.