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Finding the Fourth Proportional to 625,852,655,999.40, 938,778,983,999.10 and 625,852,655,999.40

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Solution

The fourth proportional to 625,852,655,999.40, 938,778,983,999.10 and 625,852,655,999.40 is: 938,778,983,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,852,655,999.40 : 938,778,983,999.10 = 625,852,655,999.40 : x
  2. Step 2: Convert to fraction form
    625,852,655,999.40/938,778,983,999.10 = 625,852,655,999.40/x
  3. Step 3: Cross multiply
    625,852,655,999.40x = 938,778,983,999.10 × 625,852,655,999.40
  4. Step 4: Simplify right side
    625,852,655,999.40x = 587,537,320,532,255,000,494,080
  5. Step 5: Solve for x
    x = 587,537,320,532,255,000,494,080/625,852,655,999.40
  6. Step 6: Final answer
    x = 938,778,983,999.10

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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.