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Finding the Fourth Proportional to 78,653,376,007.60, 117,980,064,011.40 and 78,653,376,007.60

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Solution

The fourth proportional to 78,653,376,007.60, 117,980,064,011.40 and 78,653,376,007.60 is: 117,980,064,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,653,376,007.60 : 117,980,064,011.40 = 78,653,376,007.60 : x
  2. Step 2: Convert to fraction form
    78,653,376,007.60/117,980,064,011.40 = 78,653,376,007.60/x
  3. Step 3: Cross multiply
    78,653,376,007.60x = 117,980,064,011.40 × 78,653,376,007.60
  4. Step 4: Simplify right side
    78,653,376,007.60x = 9,279,530,336,089,361,350,656
  5. Step 5: Solve for x
    x = 9,279,530,336,089,361,350,656/78,653,376,007.60
  6. Step 6: Final answer
    x = 117,980,064,011.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.