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Finding the Fourth Proportional to 148,396,102,877.40, 222,594,154,316.10 and 148,396,102,877.40

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Solution

The fourth proportional to 148,396,102,877.40, 222,594,154,316.10 and 148,396,102,877.40 is: 222,594,154,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,396,102,877.40 : 222,594,154,316.10 = 148,396,102,877.40 : x
  2. Step 2: Convert to fraction form
    148,396,102,877.40/222,594,154,316.10 = 148,396,102,877.40/x
  3. Step 3: Cross multiply
    148,396,102,877.40x = 222,594,154,316.10 × 148,396,102,877.40
  4. Step 4: Simplify right side
    148,396,102,877.40x = 33,032,105,023,799,826,579,456
  5. Step 5: Solve for x
    x = 33,032,105,023,799,826,579,456/148,396,102,877.40
  6. Step 6: Final answer
    x = 222,594,154,316.10

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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.