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Finding the Fourth Proportional to 6,411,453,906.10, 9,617,180,859.15 and 6,411,453,906.10

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Solution

The fourth proportional to 6,411,453,906.10, 9,617,180,859.15 and 6,411,453,906.10 is: 9,617,180,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411,453,906.10 : 9,617,180,859.15 = 6,411,453,906.10 : x
  2. Step 2: Convert to fraction form
    6,411,453,906.10/9,617,180,859.15 = 6,411,453,906.10/x
  3. Step 3: Cross multiply
    6,411,453,906.10x = 9,617,180,859.15 × 6,411,453,906.10
  4. Step 4: Simplify right side
    6,411,453,906.10x = 61,660,111,785,067,421,696
  5. Step 5: Solve for x
    x = 61,660,111,785,067,421,696/6,411,453,906.10
  6. Step 6: Final answer
    x = 9,617,180,859.15

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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.