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Finding the Fourth Proportional to 7,185,113,136.40, 10,777,669,704.60 and 7,185,113,136.40

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Solution

The fourth proportional to 7,185,113,136.40, 10,777,669,704.60 and 7,185,113,136.40 is: 10,777,669,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185,113,136.40 : 10,777,669,704.60 = 7,185,113,136.40 : x
  2. Step 2: Convert to fraction form
    7,185,113,136.40/10,777,669,704.60 = 7,185,113,136.40/x
  3. Step 3: Cross multiply
    7,185,113,136.40x = 10,777,669,704.60 × 7,185,113,136.40
  4. Step 4: Simplify right side
    7,185,113,136.40x = 77,438,776,174,301,773,824
  5. Step 5: Solve for x
    x = 77,438,776,174,301,773,824/7,185,113,136.40
  6. Step 6: Final answer
    x = 10,777,669,704.60

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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.