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Finding the Fourth Proportional to 82,417,741,281.60, 123,626,611,922.40 and 82,417,741,281.60

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Solution

The fourth proportional to 82,417,741,281.60, 123,626,611,922.40 and 82,417,741,281.60 is: 123,626,611,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,417,741,281.60 : 123,626,611,922.40 = 82,417,741,281.60 : x
  2. Step 2: Convert to fraction form
    82,417,741,281.60/123,626,611,922.40 = 82,417,741,281.60/x
  3. Step 3: Cross multiply
    82,417,741,281.60x = 123,626,611,922.40 × 82,417,741,281.60
  4. Step 4: Simplify right side
    82,417,741,281.60x = 10,189,026,116,941,129,973,760
  5. Step 5: Solve for x
    x = 10,189,026,116,941,129,973,760/82,417,741,281.60
  6. Step 6: Final answer
    x = 123,626,611,922.40

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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.