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Finding the Fourth Proportional to 286,222,744.80, 429,334,117.20 and 286,222,744.80

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Solution

The fourth proportional to 286,222,744.80, 429,334,117.20 and 286,222,744.80 is: 429,334,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,222,744.80 : 429,334,117.20 = 286,222,744.80 : x
  2. Step 2: Convert to fraction form
    286,222,744.80/429,334,117.20 = 286,222,744.80/x
  3. Step 3: Cross multiply
    286,222,744.80x = 429,334,117.20 × 286,222,744.80
  4. Step 4: Simplify right side
    286,222,744.80x = 122,885,189,461,268,896
  5. Step 5: Solve for x
    x = 122,885,189,461,268,896/286,222,744.80
  6. Step 6: Final answer
    x = 429,334,117.20

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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.