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Finding the Fourth Proportional to 585,560,988,034.40, 878,341,482,051.60 and 585,560,988,034.40

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Solution

The fourth proportional to 585,560,988,034.40, 878,341,482,051.60 and 585,560,988,034.40 is: 878,341,482,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,560,988,034.40 : 878,341,482,051.60 = 585,560,988,034.40 : x
  2. Step 2: Convert to fraction form
    585,560,988,034.40/878,341,482,051.60 = 585,560,988,034.40/x
  3. Step 3: Cross multiply
    585,560,988,034.40x = 878,341,482,051.60 × 585,560,988,034.40
  4. Step 4: Simplify right side
    585,560,988,034.40x = 514,322,506,061,734,091,948,032
  5. Step 5: Solve for x
    x = 514,322,506,061,734,091,948,032/585,560,988,034.40
  6. Step 6: Final answer
    x = 878,341,482,051.60

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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.