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Finding the Fourth Proportional to 577,404,200.40, 866,106,300.60 and 146,582,696.40

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Solution

The fourth proportional to 577,404,200.40, 866,106,300.60 and 146,582,696.40 is: 219,874,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,404,200.40 : 866,106,300.60 = 146,582,696.40 : x
  2. Step 2: Convert to fraction form
    577,404,200.40/866,106,300.60 = 146,582,696.40/x
  3. Step 3: Cross multiply
    577,404,200.40x = 866,106,300.60 × 146,582,696.40
  4. Step 4: Simplify right side
    577,404,200.40x = 126,956,196,910,976,944
  5. Step 5: Solve for x
    x = 126,956,196,910,976,944/577,404,200.40
  6. Step 6: Final answer
    x = 219,874,044.60

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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.