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Finding the Fourth Proportional to 292,284,291,620.20, 408,316,411,422.20 and 292,284,291,620.20

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Solution

The fourth proportional to 292,284,291,620.20, 408,316,411,422.20 and 292,284,291,620.20 is: 408,316,411,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,284,291,620.20 : 408,316,411,422.20 = 292,284,291,620.20 : x
  2. Step 2: Convert to fraction form
    292,284,291,620.20/408,316,411,422.20 = 292,284,291,620.20/x
  3. Step 3: Cross multiply
    292,284,291,620.20x = 408,316,411,422.20 × 292,284,291,620.20
  4. Step 4: Simplify right side
    292,284,291,620.20x = 119,344,473,069,439,881,838,592
  5. Step 5: Solve for x
    x = 119,344,473,069,439,881,838,592/292,284,291,620.20
  6. Step 6: Final answer
    x = 408,316,411,422.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.