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Finding the Fourth Proportional to 292,284,291,625.20, 408,316,411,429.20 and 292,284,291,625.20

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Solution

The fourth proportional to 292,284,291,625.20, 408,316,411,429.20 and 292,284,291,625.20 is: 408,316,411,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,284,291,625.20 : 408,316,411,429.20 = 292,284,291,625.20 : x
  2. Step 2: Convert to fraction form
    292,284,291,625.20/408,316,411,429.20 = 292,284,291,625.20/x
  3. Step 3: Cross multiply
    292,284,291,625.20x = 408,316,411,429.20 × 292,284,291,625.20
  4. Step 4: Simplify right side
    292,284,291,625.20x = 119,344,473,073,527,449,190,400
  5. Step 5: Solve for x
    x = 119,344,473,073,527,449,190,400/292,284,291,625.20
  6. Step 6: Final answer
    x = 408,316,411,429.20

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1.5x scale

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.