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Finding the Fourth Proportional to 256,091,201.70, 384,136,802.55 and 256,091,201.70

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Solution

The fourth proportional to 256,091,201.70, 384,136,802.55 and 256,091,201.70 is: 384,136,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,091,201.70 : 384,136,802.55 = 256,091,201.70 : x
  2. Step 2: Convert to fraction form
    256,091,201.70/384,136,802.55 = 256,091,201.70/x
  3. Step 3: Cross multiply
    256,091,201.70x = 384,136,802.55 × 256,091,201.70
  4. Step 4: Simplify right side
    256,091,201.70x = 98,374,055,382,225,120
  5. Step 5: Solve for x
    x = 98,374,055,382,225,120/256,091,201.70
  6. Step 6: Final answer
    x = 384,136,802.55

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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.