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Finding the Fourth Proportional to 975,912,786,000.09, 1,463,869,179,000.10 and 975,912,786,000.09

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Solution

The fourth proportional to 975,912,786,000.09, 1,463,869,179,000.10 and 975,912,786,000.09 is: 1,463,869,179,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,912,786,000.09 : 1,463,869,179,000.10 = 975,912,786,000.09 : x
  2. Step 2: Convert to fraction form
    975,912,786,000.09/1,463,869,179,000.10 = 975,912,786,000.09/x
  3. Step 3: Cross multiply
    975,912,786,000.09x = 1,463,869,179,000.10 × 975,912,786,000.09
  4. Step 4: Simplify right side
    975,912,786,000.09x = 1,428,608,648,817,652,109,672,448
  5. Step 5: Solve for x
    x = 1,428,608,648,817,652,109,672,448/975,912,786,000.09
  6. Step 6: Final answer
    x = 1,463,869,179,000.10

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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.