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Finding the Fourth Proportional to 974,678,633.10, 1,462,017,949.65 and 974,678,633.10

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Solution

The fourth proportional to 974,678,633.10, 1,462,017,949.65 and 974,678,633.10 is: 1,462,017,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,678,633.10 : 1,462,017,949.65 = 974,678,633.10 : x
  2. Step 2: Convert to fraction form
    974,678,633.10/1,462,017,949.65 = 974,678,633.10/x
  3. Step 3: Cross multiply
    974,678,633.10x = 1,462,017,949.65 × 974,678,633.10
  4. Step 4: Simplify right side
    974,678,633.10x = 1,424,997,656,732,526,848
  5. Step 5: Solve for x
    x = 1,424,997,656,732,526,848/974,678,633.10
  6. Step 6: Final answer
    x = 1,462,017,949.65

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Double scale
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Similar ratio
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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.