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Finding the Fourth Proportional to 160,897,136,017.20, 241,345,704,025.80 and 160,897,136,017.20

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Solution

The fourth proportional to 160,897,136,017.20, 241,345,704,025.80 and 160,897,136,017.20 is: 241,345,704,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,897,136,017.20 : 241,345,704,025.80 = 160,897,136,017.20 : x
  2. Step 2: Convert to fraction form
    160,897,136,017.20/241,345,704,025.80 = 160,897,136,017.20/x
  3. Step 3: Cross multiply
    160,897,136,017.20x = 241,345,704,025.80 × 160,897,136,017.20
  4. Step 4: Simplify right side
    160,897,136,017.20x = 38,831,832,567,806,034,968,576
  5. Step 5: Solve for x
    x = 38,831,832,567,806,034,968,576/160,897,136,017.20
  6. Step 6: Final answer
    x = 241,345,704,025.80

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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.