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Finding the Fourth Proportional to 298,948,877.60, 448,423,316.40 and 83,538,125.60

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Solution

The fourth proportional to 298,948,877.60, 448,423,316.40 and 83,538,125.60 is: 125,307,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,948,877.60 : 448,423,316.40 = 83,538,125.60 : x
  2. Step 2: Convert to fraction form
    298,948,877.60/448,423,316.40 = 83,538,125.60/x
  3. Step 3: Cross multiply
    298,948,877.60x = 448,423,316.40 × 83,538,125.60
  4. Step 4: Simplify right side
    298,948,877.60x = 37,460,443,327,391,736
  5. Step 5: Solve for x
    x = 37,460,443,327,391,736/298,948,877.60
  6. Step 6: Final answer
    x = 125,307,188.40

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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.