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Finding the Fourth Proportional to 750,676,896,008.90, 1,126,015,344,013.40 and 750,676,896,008.90

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Solution

The fourth proportional to 750,676,896,008.90, 1,126,015,344,013.40 and 750,676,896,008.90 is: 1,126,015,344,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,676,896,008.90 : 1,126,015,344,013.40 = 750,676,896,008.90 : x
  2. Step 2: Convert to fraction form
    750,676,896,008.90/1,126,015,344,013.40 = 750,676,896,008.90/x
  3. Step 3: Cross multiply
    750,676,896,008.90x = 1,126,015,344,013.40 × 750,676,896,008.90
  4. Step 4: Simplify right side
    750,676,896,008.90x = 845,273,703,302,372,729,552,896
  5. Step 5: Solve for x
    x = 845,273,703,302,372,729,552,896/750,676,896,008.90
  6. Step 6: Final answer
    x = 1,126,015,344,013.40

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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.