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Finding the Fourth Proportional to 456,472,851, 629,932,534.44 and 260,906,762.04

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Solution

The fourth proportional to 456,472,851, 629,932,534.44 and 260,906,762.04 is: 360,051,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,472,851 : 629,932,534.44 = 260,906,762.04 : x
  2. Step 2: Convert to fraction form
    456,472,851/629,932,534.44 = 260,906,762.04/x
  3. Step 3: Cross multiply
    456,472,851x = 629,932,534.44 × 260,906,762.04
  4. Step 4: Simplify right side
    456,472,851x = 164,353,657,864,391,200
  5. Step 5: Solve for x
    x = 164,353,657,864,391,200/456,472,851
  6. Step 6: Final answer
    x = 360,051,331.65

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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.