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Finding the Fourth Proportional to 880,069,868,812.90, 1,320,104,803,219.40 and 880,069,868,812.90

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Solution

The fourth proportional to 880,069,868,812.90, 1,320,104,803,219.40 and 880,069,868,812.90 is: 1,320,104,803,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,069,868,812.90 : 1,320,104,803,219.40 = 880,069,868,812.90 : x
  2. Step 2: Convert to fraction form
    880,069,868,812.90/1,320,104,803,219.40 = 880,069,868,812.90/x
  3. Step 3: Cross multiply
    880,069,868,812.90x = 1,320,104,803,219.40 × 880,069,868,812.90
  4. Step 4: Simplify right side
    880,069,868,812.90x = 1,161,784,460,988,576,471,973,888
  5. Step 5: Solve for x
    x = 1,161,784,460,988,576,471,973,888/880,069,868,812.90
  6. Step 6: Final answer
    x = 1,320,104,803,219.40

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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.