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Finding the Fourth Proportional to 995,328,005.80, 1,492,992,008.70 and 688,534,738.60

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Solution

The fourth proportional to 995,328,005.80, 1,492,992,008.70 and 688,534,738.60 is: 1,032,802,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    995,328,005.80 : 1,492,992,008.70 = 688,534,738.60 : x
  2. Step 2: Convert to fraction form
    995,328,005.80/1,492,992,008.70 = 688,534,738.60/x
  3. Step 3: Cross multiply
    995,328,005.80x = 1,492,992,008.70 × 688,534,738.60
  4. Step 4: Simplify right side
    995,328,005.80x = 1,027,976,862,442,143,488
  5. Step 5: Solve for x
    x = 1,027,976,862,442,143,488/995,328,005.80
  6. Step 6: Final answer
    x = 1,032,802,107.90

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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.