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Finding the Fourth Proportional to 5,347,651,129,105.40, 8,021,476,693,658.40 and 5,347,651,129,105.40

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Solution

The fourth proportional to 5,347,651,129,105.40, 8,021,476,693,658.40 and 5,347,651,129,105.40 is: 8,021,476,693,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347,651,129,105.40 : 8,021,476,693,658.40 = 5,347,651,129,105.40 : x
  2. Step 2: Convert to fraction form
    5,347,651,129,105.40/8,021,476,693,658.40 = 5,347,651,129,105.40/x
  3. Step 3: Cross multiply
    5,347,651,129,105.40x = 8,021,476,693,658.40 × 5,347,651,129,105.40
  4. Step 4: Simplify right side
    5,347,651,129,105.40x = 42,896,058,897,935,001,995,706,368
  5. Step 5: Solve for x
    x = 42,896,058,897,935,001,995,706,368/5,347,651,129,105.40
  6. Step 6: Final answer
    x = 8,021,476,693,658.40

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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.