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Finding the Fourth Proportional to 491,000,886.50, 736,598,352.34 and 180,111,389.08

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Solution

The fourth proportional to 491,000,886.50, 736,598,352.34 and 180,111,389.08 is: 270,202,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,000,886.50 : 736,598,352.34 = 180,111,389.08 : x
  2. Step 2: Convert to fraction form
    491,000,886.50/736,598,352.34 = 180,111,389.08/x
  3. Step 3: Cross multiply
    491,000,886.50x = 736,598,352.34 × 180,111,389.08
  4. Step 4: Simplify right side
    491,000,886.50x = 132,669,752,433,996,688
  5. Step 5: Solve for x
    x = 132,669,752,433,996,688/491,000,886.50
  6. Step 6: Final answer
    x = 270,202,673.93

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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.