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Finding the Fourth Proportional to 805,202,208.90, 1,207,803,313.35 and 417,781,719.90

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Solution

The fourth proportional to 805,202,208.90, 1,207,803,313.35 and 417,781,719.90 is: 626,672,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,202,208.90 : 1,207,803,313.35 = 417,781,719.90 : x
  2. Step 2: Convert to fraction form
    805,202,208.90/1,207,803,313.35 = 417,781,719.90/x
  3. Step 3: Cross multiply
    805,202,208.90x = 1,207,803,313.35 × 417,781,719.90
  4. Step 4: Simplify right side
    805,202,208.90x = 504,598,145,552,281,536
  5. Step 5: Solve for x
    x = 504,598,145,552,281,536/805,202,208.90
  6. Step 6: Final answer
    x = 626,672,579.85

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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.