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Finding the Fourth Proportional to 280,584,006.30, 420,876,009.45 and 230,195,526.30

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Solution

The fourth proportional to 280,584,006.30, 420,876,009.45 and 230,195,526.30 is: 345,293,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,584,006.30 : 420,876,009.45 = 230,195,526.30 : x
  2. Step 2: Convert to fraction form
    280,584,006.30/420,876,009.45 = 230,195,526.30/x
  3. Step 3: Cross multiply
    280,584,006.30x = 420,876,009.45 × 230,195,526.30
  4. Step 4: Simplify right side
    280,584,006.30x = 96,883,774,502,386,528
  5. Step 5: Solve for x
    x = 96,883,774,502,386,528/280,584,006.30
  6. Step 6: Final answer
    x = 345,293,289.45

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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.