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Finding the Fourth Proportional to 6,596,110,715.60, 9,894,166,073.40 and 6,596,110,715.60

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Solution

The fourth proportional to 6,596,110,715.60, 9,894,166,073.40 and 6,596,110,715.60 is: 9,894,166,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596,110,715.60 : 9,894,166,073.40 = 6,596,110,715.60 : x
  2. Step 2: Convert to fraction form
    6,596,110,715.60/9,894,166,073.40 = 6,596,110,715.60/x
  3. Step 3: Cross multiply
    6,596,110,715.60x = 9,894,166,073.40 × 6,596,110,715.60
  4. Step 4: Simplify right side
    6,596,110,715.60x = 65,263,014,858,679,713,792
  5. Step 5: Solve for x
    x = 65,263,014,858,679,713,792/6,596,110,715.60
  6. Step 6: Final answer
    x = 9,894,166,073.40

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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.