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Finding the Fourth Proportional to 978,870,712.38, 1,350,874,212.56 and 549,783,617.53

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Solution

The fourth proportional to 978,870,712.38, 1,350,874,212.56 and 549,783,617.53 is: 758,719,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,870,712.38 : 1,350,874,212.56 = 549,783,617.53 : x
  2. Step 2: Convert to fraction form
    978,870,712.38/1,350,874,212.56 = 549,783,617.53/x
  3. Step 3: Cross multiply
    978,870,712.38x = 1,350,874,212.56 × 549,783,617.53
  4. Step 4: Simplify right side
    978,870,712.38x = 742,688,511,412,604,160
  5. Step 5: Solve for x
    x = 742,688,511,412,604,160/978,870,712.38
  6. Step 6: Final answer
    x = 758,719,718.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.