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Finding the Fourth Proportional to 708,546,786.90, 1,062,699,047.88 and 190,856,158.57

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Solution

The fourth proportional to 708,546,786.90, 1,062,699,047.88 and 190,856,158.57 is: 286,251,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,546,786.90 : 1,062,699,047.88 = 190,856,158.57 : x
  2. Step 2: Convert to fraction form
    708,546,786.90/1,062,699,047.88 = 190,856,158.57/x
  3. Step 3: Cross multiply
    708,546,786.90x = 1,062,699,047.88 × 190,856,158.57
  4. Step 4: Simplify right side
    708,546,786.90x = 202,822,657,996,064,288
  5. Step 5: Solve for x
    x = 202,822,657,996,064,288/708,546,786.90
  6. Step 6: Final answer
    x = 286,251,609.28

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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.