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Finding the Fourth Proportional to 468,375,485.40, 702,426,600.66 and 157,447,957.08

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Solution

The fourth proportional to 468,375,485.40, 702,426,600.66 and 157,447,957.08 is: 236,126,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,375,485.40 : 702,426,600.66 = 157,447,957.08 : x
  2. Step 2: Convert to fraction form
    468,375,485.40/702,426,600.66 = 157,447,957.08/x
  3. Step 3: Cross multiply
    468,375,485.40x = 702,426,600.66 × 157,447,957.08
  4. Step 4: Simplify right side
    468,375,485.40x = 110,595,633,272,565,984
  5. Step 5: Solve for x
    x = 110,595,633,272,565,984/468,375,485.40
  6. Step 6: Final answer
    x = 236,126,007.27

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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.