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Finding the Fourth Proportional to 279,026,209,972.80, 418,539,314,959.20 and 279,026,209,972.80

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Solution

The fourth proportional to 279,026,209,972.80, 418,539,314,959.20 and 279,026,209,972.80 is: 418,539,314,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,026,209,972.80 : 418,539,314,959.20 = 279,026,209,972.80 : x
  2. Step 2: Convert to fraction form
    279,026,209,972.80/418,539,314,959.20 = 279,026,209,972.80/x
  3. Step 3: Cross multiply
    279,026,209,972.80x = 418,539,314,959.20 × 279,026,209,972.80
  4. Step 4: Simplify right side
    279,026,209,972.80x = 116,783,438,777,677,615,464,448
  5. Step 5: Solve for x
    x = 116,783,438,777,677,615,464,448/279,026,209,972.80
  6. Step 6: Final answer
    x = 418,539,314,959.20

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1.5x scale

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.