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Finding the Fourth Proportional to 14,758,470,523.60, 22,137,705,785.40 and 14,758,470,523.60

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Solution

The fourth proportional to 14,758,470,523.60, 22,137,705,785.40 and 14,758,470,523.60 is: 22,137,705,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,758,470,523.60 : 22,137,705,785.40 = 14,758,470,523.60 : x
  2. Step 2: Convert to fraction form
    14,758,470,523.60/22,137,705,785.40 = 14,758,470,523.60/x
  3. Step 3: Cross multiply
    14,758,470,523.60x = 22,137,705,785.40 × 14,758,470,523.60
  4. Step 4: Simplify right side
    14,758,470,523.60x = 326,718,678,293,955,149,824
  5. Step 5: Solve for x
    x = 326,718,678,293,955,149,824/14,758,470,523.60
  6. Step 6: Final answer
    x = 22,137,705,785.40

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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.