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Finding the Fourth Proportional to 27,256,293,872.90, 40,884,440,809.35 and 27,256,293,872.90

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Solution

The fourth proportional to 27,256,293,872.90, 40,884,440,809.35 and 27,256,293,872.90 is: 40,884,440,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,256,293,872.90 : 40,884,440,809.35 = 27,256,293,872.90 : x
  2. Step 2: Convert to fraction form
    27,256,293,872.90/40,884,440,809.35 = 27,256,293,872.90/x
  3. Step 3: Cross multiply
    27,256,293,872.90x = 40,884,440,809.35 × 27,256,293,872.90
  4. Step 4: Simplify right side
    27,256,293,872.90x = 1,114,358,333,528,829,198,336
  5. Step 5: Solve for x
    x = 1,114,358,333,528,829,198,336/27,256,293,872.90
  6. Step 6: Final answer
    x = 40,884,440,809.35

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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.