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Finding the Fourth Proportional to 382,625,553,301.20, 573,938,329,951.80 and 382,625,553,301.20

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Solution

The fourth proportional to 382,625,553,301.20, 573,938,329,951.80 and 382,625,553,301.20 is: 573,938,329,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,625,553,301.20 : 573,938,329,951.80 = 382,625,553,301.20 : x
  2. Step 2: Convert to fraction form
    382,625,553,301.20/573,938,329,951.80 = 382,625,553,301.20/x
  3. Step 3: Cross multiply
    382,625,553,301.20x = 573,938,329,951.80 × 382,625,553,301.20
  4. Step 4: Simplify right side
    382,625,553,301.20x = 219,603,471,058,574,182,973,440
  5. Step 5: Solve for x
    x = 219,603,471,058,574,182,973,440/382,625,553,301.20
  6. Step 6: Final answer
    x = 573,938,329,951.80

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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.