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Finding the Fourth Proportional to 1,002,506,274,137, 1,503,759,411,205.60 and 1,002,506,274,137

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Solution

The fourth proportional to 1,002,506,274,137, 1,503,759,411,205.60 and 1,002,506,274,137 is: 1,503,759,411,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,506,274,137 : 1,503,759,411,205.60 = 1,002,506,274,137 : x
  2. Step 2: Convert to fraction form
    1,002,506,274,137/1,503,759,411,205.60 = 1,002,506,274,137/x
  3. Step 3: Cross multiply
    1,002,506,274,137x = 1,503,759,411,205.60 × 1,002,506,274,137
  4. Step 4: Simplify right side
    1,002,506,274,137x = 1,507,528,244,526,175,045,550,080
  5. Step 5: Solve for x
    x = 1,507,528,244,526,175,045,550,080/1,002,506,274,137
  6. Step 6: Final answer
    x = 1,503,759,411,205.60

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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.