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Finding the Fourth Proportional to 125,469,432,006.40, 176,098,003,232 and 125,469,432,006.40

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Solution

The fourth proportional to 125,469,432,006.40, 176,098,003,232 and 125,469,432,006.40 is: 176,098,003,232

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,469,432,006.40 : 176,098,003,232 = 125,469,432,006.40 : x
  2. Step 2: Convert to fraction form
    125,469,432,006.40/176,098,003,232 = 125,469,432,006.40/x
  3. Step 3: Cross multiply
    125,469,432,006.40x = 176,098,003,232 × 125,469,432,006.40
  4. Step 4: Simplify right side
    125,469,432,006.40x = 22,094,916,442,980,230,365,184
  5. Step 5: Solve for x
    x = 22,094,916,442,980,230,365,184/125,469,432,006.40
  6. Step 6: Final answer
    x = 176,098,003,232

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.