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Finding the Fourth Proportional to 102,020,155.70, 153,030,233.55 and 102,020,155.70

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Solution

The fourth proportional to 102,020,155.70, 153,030,233.55 and 102,020,155.70 is: 153,030,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,020,155.70 : 153,030,233.55 = 102,020,155.70 : x
  2. Step 2: Convert to fraction form
    102,020,155.70/153,030,233.55 = 102,020,155.70/x
  3. Step 3: Cross multiply
    102,020,155.70x = 153,030,233.55 × 102,020,155.70
  4. Step 4: Simplify right side
    102,020,155.70x = 15,612,168,253,578,366
  5. Step 5: Solve for x
    x = 15,612,168,253,578,366/102,020,155.70
  6. Step 6: Final answer
    x = 153,030,233.55

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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.