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Finding the Fourth Proportional to 265,775,312.70, 398,662,969.05 and 229,424,748.30

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Solution

The fourth proportional to 265,775,312.70, 398,662,969.05 and 229,424,748.30 is: 344,137,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,775,312.70 : 398,662,969.05 = 229,424,748.30 : x
  2. Step 2: Convert to fraction form
    265,775,312.70/398,662,969.05 = 229,424,748.30/x
  3. Step 3: Cross multiply
    265,775,312.70x = 398,662,969.05 × 229,424,748.30
  4. Step 4: Simplify right side
    265,775,312.70x = 91,463,151,330,826,944
  5. Step 5: Solve for x
    x = 91,463,151,330,826,944/265,775,312.70
  6. Step 6: Final answer
    x = 344,137,122.45

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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.