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Finding the Fourth Proportional to 2,081,604,096,743.70, 3,116,528,832,808.40 and 2,081,604,096,743.70

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Solution

The fourth proportional to 2,081,604,096,743.70, 3,116,528,832,808.40 and 2,081,604,096,743.70 is: 3,116,528,832,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,604,096,743.70 : 3,116,528,832,808.40 = 2,081,604,096,743.70 : x
  2. Step 2: Convert to fraction form
    2,081,604,096,743.70/3,116,528,832,808.40 = 2,081,604,096,743.70/x
  3. Step 3: Cross multiply
    2,081,604,096,743.70x = 3,116,528,832,808.40 × 2,081,604,096,743.70
  4. Step 4: Simplify right side
    2,081,604,096,743.70x = 6,487,379,185,993,826,762,227,712
  5. Step 5: Solve for x
    x = 6,487,379,185,993,826,762,227,712/2,081,604,096,743.70
  6. Step 6: Final answer
    x = 3,116,528,832,808.40

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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.