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Finding the Fourth Proportional to 978,048,264.70, 1,467,072,397.05 and 978,048,264.70

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Solution

The fourth proportional to 978,048,264.70, 1,467,072,397.05 and 978,048,264.70 is: 1,467,072,397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,048,264.70 : 1,467,072,397.05 = 978,048,264.70 : x
  2. Step 2: Convert to fraction form
    978,048,264.70/1,467,072,397.05 = 978,048,264.70/x
  3. Step 3: Cross multiply
    978,048,264.70x = 1,467,072,397.05 × 978,048,264.70
  4. Step 4: Simplify right side
    978,048,264.70x = 1,434,867,612,124,022,016
  5. Step 5: Solve for x
    x = 1,434,867,612,124,022,016/978,048,264.70
  6. Step 6: Final answer
    x = 1,467,072,397.05

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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.