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Finding the Fourth Proportional to 868,968,000.90, 1,303,452,001.35 and 213,913,824.30

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Solution

The fourth proportional to 868,968,000.90, 1,303,452,001.35 and 213,913,824.30 is: 320,870,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,968,000.90 : 1,303,452,001.35 = 213,913,824.30 : x
  2. Step 2: Convert to fraction form
    868,968,000.90/1,303,452,001.35 = 213,913,824.30/x
  3. Step 3: Cross multiply
    868,968,000.90x = 1,303,452,001.35 × 213,913,824.30
  4. Step 4: Simplify right side
    868,968,000.90x = 278,826,402,400,267,264
  5. Step 5: Solve for x
    x = 278,826,402,400,267,264/868,968,000.90
  6. Step 6: Final answer
    x = 320,870,736.45

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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.