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Finding the Fourth Proportional to 620,657,478,001.45, 930,986,217,002.17 and 620,657,478,001.45

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Solution

The fourth proportional to 620,657,478,001.45, 930,986,217,002.17 and 620,657,478,001.45 is: 930,986,217,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,657,478,001.45 : 930,986,217,002.17 = 620,657,478,001.45 : x
  2. Step 2: Convert to fraction form
    620,657,478,001.45/930,986,217,002.17 = 620,657,478,001.45/x
  3. Step 3: Cross multiply
    620,657,478,001.45x = 930,986,217,002.17 × 620,657,478,001.45
  4. Step 4: Simplify right side
    620,657,478,001.45x = 577,823,557,498,677,495,857,152
  5. Step 5: Solve for x
    x = 577,823,557,498,677,495,857,152/620,657,478,001.45
  6. Step 6: Final answer
    x = 930,986,217,002.17

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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.