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Finding the Fourth Proportional to 13,078,894,509.60, 19,618,341,764.40 and 13,078,894,509.60

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Solution

The fourth proportional to 13,078,894,509.60, 19,618,341,764.40 and 13,078,894,509.60 is: 19,618,341,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078,894,509.60 : 19,618,341,764.40 = 13,078,894,509.60 : x
  2. Step 2: Convert to fraction form
    13,078,894,509.60/19,618,341,764.40 = 13,078,894,509.60/x
  3. Step 3: Cross multiply
    13,078,894,509.60x = 19,618,341,764.40 × 13,078,894,509.60
  4. Step 4: Simplify right side
    13,078,894,509.60x = 256,586,222,389,867,577,344
  5. Step 5: Solve for x
    x = 256,586,222,389,867,577,344/13,078,894,509.60
  6. Step 6: Final answer
    x = 19,618,341,764.40

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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.