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Finding the Fourth Proportional to 983,316,097.80, 1,474,974,146.70 and 983,316,097.80

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Solution

The fourth proportional to 983,316,097.80, 1,474,974,146.70 and 983,316,097.80 is: 1,474,974,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,316,097.80 : 1,474,974,146.70 = 983,316,097.80 : x
  2. Step 2: Convert to fraction form
    983,316,097.80/1,474,974,146.70 = 983,316,097.80/x
  3. Step 3: Cross multiply
    983,316,097.80x = 1,474,974,146.70 × 983,316,097.80
  4. Step 4: Simplify right side
    983,316,097.80x = 1,450,365,822,288,928,768
  5. Step 5: Solve for x
    x = 1,450,365,822,288,928,768/983,316,097.80
  6. Step 6: Final answer
    x = 1,474,974,146.70

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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.