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Finding the Fourth Proportional to 706,174,643.97, 974,655,926.16 and 467,599,029.21

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Solution

The fourth proportional to 706,174,643.97, 974,655,926.16 and 467,599,029.21 is: 645,375,996.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,174,643.97 : 974,655,926.16 = 467,599,029.21 : x
  2. Step 2: Convert to fraction form
    706,174,643.97/974,655,926.16 = 467,599,029.21/x
  3. Step 3: Cross multiply
    706,174,643.97x = 974,655,926.16 × 467,599,029.21
  4. Step 4: Simplify right side
    706,174,643.97x = 455,748,164,886,189,376
  5. Step 5: Solve for x
    x = 455,748,164,886,189,376/706,174,643.97
  6. Step 6: Final answer
    x = 645,375,996.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.