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Finding the Fourth Proportional to 198,365,087.70, 297,547,631.55 and 198,365,087.70

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Solution

The fourth proportional to 198,365,087.70, 297,547,631.55 and 198,365,087.70 is: 297,547,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,365,087.70 : 297,547,631.55 = 198,365,087.70 : x
  2. Step 2: Convert to fraction form
    198,365,087.70/297,547,631.55 = 198,365,087.70/x
  3. Step 3: Cross multiply
    198,365,087.70x = 297,547,631.55 × 198,365,087.70
  4. Step 4: Simplify right side
    198,365,087.70x = 59,023,062,027,343,032
  5. Step 5: Solve for x
    x = 59,023,062,027,343,032/198,365,087.70
  6. Step 6: Final answer
    x = 297,547,631.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.