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Finding the Fourth Proportional to 14,548,285,215.60, 21,822,427,823.40 and 14,548,285,215.60

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Solution

The fourth proportional to 14,548,285,215.60, 21,822,427,823.40 and 14,548,285,215.60 is: 21,822,427,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548,285,215.60 : 21,822,427,823.40 = 14,548,285,215.60 : x
  2. Step 2: Convert to fraction form
    14,548,285,215.60/21,822,427,823.40 = 14,548,285,215.60/x
  3. Step 3: Cross multiply
    14,548,285,215.60x = 21,822,427,823.40 × 14,548,285,215.60
  4. Step 4: Simplify right side
    14,548,285,215.60x = 317,478,904,071,668,367,360
  5. Step 5: Solve for x
    x = 317,478,904,071,668,367,360/14,548,285,215.60
  6. Step 6: Final answer
    x = 21,822,427,823.40

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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.