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Finding the Fourth Proportional to 96,328,604,046.40, 144,492,906,069.60 and 96,328,604,046.40

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Solution

The fourth proportional to 96,328,604,046.40, 144,492,906,069.60 and 96,328,604,046.40 is: 144,492,906,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,328,604,046.40 : 144,492,906,069.60 = 96,328,604,046.40 : x
  2. Step 2: Convert to fraction form
    96,328,604,046.40/144,492,906,069.60 = 96,328,604,046.40/x
  3. Step 3: Cross multiply
    96,328,604,046.40x = 144,492,906,069.60 × 96,328,604,046.40
  4. Step 4: Simplify right side
    96,328,604,046.40x = 13,918,799,936,292,164,468,736
  5. Step 5: Solve for x
    x = 13,918,799,936,292,164,468,736/96,328,604,046.40
  6. Step 6: Final answer
    x = 144,492,906,069.60

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1.5x scale

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.