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Finding the Fourth Proportional to 18,102,313,643.40, 27,153,470,465.10 and 18,102,313,643.40

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Solution

The fourth proportional to 18,102,313,643.40, 27,153,470,465.10 and 18,102,313,643.40 is: 27,153,470,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102,313,643.40 : 27,153,470,465.10 = 18,102,313,643.40 : x
  2. Step 2: Convert to fraction form
    18,102,313,643.40/27,153,470,465.10 = 18,102,313,643.40/x
  3. Step 3: Cross multiply
    18,102,313,643.40x = 27,153,470,465.10 × 18,102,313,643.40
  4. Step 4: Simplify right side
    18,102,313,643.40x = 491,540,638,866,038,718,464
  5. Step 5: Solve for x
    x = 491,540,638,866,038,718,464/18,102,313,643.40
  6. Step 6: Final answer
    x = 27,153,470,465.10

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Double scale
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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.