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Finding the Fourth Proportional to 655,120,467,070.05, 982,680,700,605.08 and 655,120,467,070.05

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Solution

The fourth proportional to 655,120,467,070.05, 982,680,700,605.08 and 655,120,467,070.05 is: 982,680,700,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,120,467,070.05 : 982,680,700,605.08 = 655,120,467,070.05 : x
  2. Step 2: Convert to fraction form
    655,120,467,070.05/982,680,700,605.08 = 655,120,467,070.05/x
  3. Step 3: Cross multiply
    655,120,467,070.05x = 982,680,700,605.08 × 655,120,467,070.05
  4. Step 4: Simplify right side
    655,120,467,070.05x = 643,774,239,561,124,029,661,184
  5. Step 5: Solve for x
    x = 643,774,239,561,124,029,661,184/655,120,467,070.05
  6. Step 6: Final answer
    x = 982,680,700,605.08

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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.