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Finding the Fourth Proportional to 625,966,805,428.80, 938,950,208,143.20 and 625,966,805,428.80

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Solution

The fourth proportional to 625,966,805,428.80, 938,950,208,143.20 and 625,966,805,428.80 is: 938,950,208,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,966,805,428.80 : 938,950,208,143.20 = 625,966,805,428.80 : x
  2. Step 2: Convert to fraction form
    625,966,805,428.80/938,950,208,143.20 = 625,966,805,428.80/x
  3. Step 3: Cross multiply
    625,966,805,428.80x = 938,950,208,143.20 × 625,966,805,428.80
  4. Step 4: Simplify right side
    625,966,805,428.80x = 587,751,662,248,105,756,065,792
  5. Step 5: Solve for x
    x = 587,751,662,248,105,756,065,792/625,966,805,428.80
  6. Step 6: Final answer
    x = 938,950,208,143.20

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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.