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Finding the Fourth Proportional to 24,255,293,478.40, 36,382,940,217.60 and 24,255,293,478.40

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Solution

The fourth proportional to 24,255,293,478.40, 36,382,940,217.60 and 24,255,293,478.40 is: 36,382,940,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,255,293,478.40 : 36,382,940,217.60 = 24,255,293,478.40 : x
  2. Step 2: Convert to fraction form
    24,255,293,478.40/36,382,940,217.60 = 24,255,293,478.40/x
  3. Step 3: Cross multiply
    24,255,293,478.40x = 36,382,940,217.60 × 24,255,293,478.40
  4. Step 4: Simplify right side
    24,255,293,478.40x = 882,478,892,584,970,354,688
  5. Step 5: Solve for x
    x = 882,478,892,584,970,354,688/24,255,293,478.40
  6. Step 6: Final answer
    x = 36,382,940,217.60

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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.