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Finding the Fourth Proportional to 916,359,196,502.90, 1,374,538,794,754.40 and 916,359,196,502.90

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Solution

The fourth proportional to 916,359,196,502.90, 1,374,538,794,754.40 and 916,359,196,502.90 is: 1,374,538,794,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,359,196,502.90 : 1,374,538,794,754.40 = 916,359,196,502.90 : x
  2. Step 2: Convert to fraction form
    916,359,196,502.90/1,374,538,794,754.40 = 916,359,196,502.90/x
  3. Step 3: Cross multiply
    916,359,196,502.90x = 1,374,538,794,754.40 × 916,359,196,502.90
  4. Step 4: Simplify right side
    916,359,196,502.90x = 1,259,571,265,523,206,567,493,632
  5. Step 5: Solve for x
    x = 1,259,571,265,523,206,567,493,632/916,359,196,502.90
  6. Step 6: Final answer
    x = 1,374,538,794,754.40

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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.