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Finding the Fourth Proportional to 334,272,978.65, 461,311,117.76 and 185,594,107.07

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Solution

The fourth proportional to 334,272,978.65, 461,311,117.76 and 185,594,107.07 is: 256,127,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,272,978.65 : 461,311,117.76 = 185,594,107.07 : x
  2. Step 2: Convert to fraction form
    334,272,978.65/461,311,117.76 = 185,594,107.07/x
  3. Step 3: Cross multiply
    334,272,978.65x = 461,311,117.76 × 185,594,107.07
  4. Step 4: Simplify right side
    334,272,978.65x = 85,616,624,983,222,848
  5. Step 5: Solve for x
    x = 85,616,624,983,222,848/334,272,978.65
  6. Step 6: Final answer
    x = 256,127,866.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.