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Finding the Fourth Proportional to 978,870,712.78, 1,350,874,213.12 and 549,783,617.94

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Solution

The fourth proportional to 978,870,712.78, 1,350,874,213.12 and 549,783,617.94 is: 758,719,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,870,712.78 : 1,350,874,213.12 = 549,783,617.94 : x
  2. Step 2: Convert to fraction form
    978,870,712.78/1,350,874,213.12 = 549,783,617.94/x
  3. Step 3: Cross multiply
    978,870,712.78x = 1,350,874,213.12 × 549,783,617.94
  4. Step 4: Simplify right side
    978,870,712.78x = 742,688,512,270,964,224
  5. Step 5: Solve for x
    x = 742,688,512,270,964,224/978,870,712.78
  6. Step 6: Final answer
    x = 758,719,719.14

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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.