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Finding the Fourth Proportional to 128,718,072,801.10, 193,077,109,201.65 and 128,718,072,801.10

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Solution

The fourth proportional to 128,718,072,801.10, 193,077,109,201.65 and 128,718,072,801.10 is: 193,077,109,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,718,072,801.10 : 193,077,109,201.65 = 128,718,072,801.10 : x
  2. Step 2: Convert to fraction form
    128,718,072,801.10/193,077,109,201.65 = 128,718,072,801.10/x
  3. Step 3: Cross multiply
    128,718,072,801.10x = 193,077,109,201.65 × 128,718,072,801.10
  4. Step 4: Simplify right side
    128,718,072,801.10x = 24,852,513,398,443,921,637,376
  5. Step 5: Solve for x
    x = 24,852,513,398,443,921,637,376/128,718,072,801.10
  6. Step 6: Final answer
    x = 193,077,109,201.65

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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.