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Finding the Fourth Proportional to 4,081,347,072,912.40, 6,122,020,609,368.40 and 4,081,347,072,912.40

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Solution

The fourth proportional to 4,081,347,072,912.40, 6,122,020,609,368.40 and 4,081,347,072,912.40 is: 6,122,020,609,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081,347,072,912.40 : 6,122,020,609,368.40 = 4,081,347,072,912.40 : x
  2. Step 2: Convert to fraction form
    4,081,347,072,912.40/6,122,020,609,368.40 = 4,081,347,072,912.40/x
  3. Step 3: Cross multiply
    4,081,347,072,912.40x = 6,122,020,609,368.40 × 4,081,347,072,912.40
  4. Step 4: Simplify right side
    4,081,347,072,912.40x = 24,986,090,894,355,108,657,627,136
  5. Step 5: Solve for x
    x = 24,986,090,894,355,108,657,627,136/4,081,347,072,912.40
  6. Step 6: Final answer
    x = 6,122,020,609,368.40

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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.