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Finding the Fourth Proportional to 802,281,701.80, 1,203,422,552.70 and 733,406,948.20

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Solution

The fourth proportional to 802,281,701.80, 1,203,422,552.70 and 733,406,948.20 is: 1,100,110,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,281,701.80 : 1,203,422,552.70 = 733,406,948.20 : x
  2. Step 2: Convert to fraction form
    802,281,701.80/1,203,422,552.70 = 733,406,948.20/x
  3. Step 3: Cross multiply
    802,281,701.80x = 1,203,422,552.70 × 733,406,948.20
  4. Step 4: Simplify right side
    802,281,701.80x = 882,598,461,770,760,704
  5. Step 5: Solve for x
    x = 882,598,461,770,760,704/802,281,701.80
  6. Step 6: Final answer
    x = 1,100,110,422.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.