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Finding the Fourth Proportional to 625,968,837,260.10, 938,953,255,890.14 and 625,968,837,260.10

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Solution

The fourth proportional to 625,968,837,260.10, 938,953,255,890.14 and 625,968,837,260.10 is: 938,953,255,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,968,837,260.10 : 938,953,255,890.14 = 625,968,837,260.10 : x
  2. Step 2: Convert to fraction form
    625,968,837,260.10/938,953,255,890.14 = 625,968,837,260.10/x
  3. Step 3: Cross multiply
    625,968,837,260.10x = 938,953,255,890.14 × 625,968,837,260.10
  4. Step 4: Simplify right side
    625,968,837,260.10x = 587,755,477,831,136,055,394,304
  5. Step 5: Solve for x
    x = 587,755,477,831,136,055,394,304/625,968,837,260.10
  6. Step 6: Final answer
    x = 938,953,255,890.14

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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.