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Finding the Fourth Proportional to 4,657,883,134,777.60, 6,986,824,702,166.40 and 4,657,883,134,777.60

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Solution

The fourth proportional to 4,657,883,134,777.60, 6,986,824,702,166.40 and 4,657,883,134,777.60 is: 6,986,824,702,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657,883,134,777.60 : 6,986,824,702,166.40 = 4,657,883,134,777.60 : x
  2. Step 2: Convert to fraction form
    4,657,883,134,777.60/6,986,824,702,166.40 = 4,657,883,134,777.60/x
  3. Step 3: Cross multiply
    4,657,883,134,777.60x = 6,986,824,702,166.40 × 4,657,883,134,777.60
  4. Step 4: Simplify right side
    4,657,883,134,777.60x = 32,543,812,945,868,401,462,476,800
  5. Step 5: Solve for x
    x = 32,543,812,945,868,401,462,476,800/4,657,883,134,777.60
  6. Step 6: Final answer
    x = 6,986,824,702,166.40

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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.