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Finding the Fourth Proportional to 863,115,264,828.80, 1,292,931,471,374.40 and 863,115,264,828.80

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Solution

The fourth proportional to 863,115,264,828.80, 1,292,931,471,374.40 and 863,115,264,828.80 is: 1,292,931,471,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,115,264,828.80 : 1,292,931,471,374.40 = 863,115,264,828.80 : x
  2. Step 2: Convert to fraction form
    863,115,264,828.80/1,292,931,471,374.40 = 863,115,264,828.80/x
  3. Step 3: Cross multiply
    863,115,264,828.80x = 1,292,931,471,374.40 × 863,115,264,828.80
  4. Step 4: Simplify right side
    863,115,264,828.80x = 1,115,948,889,320,805,225,201,664
  5. Step 5: Solve for x
    x = 1,115,948,889,320,805,225,201,664/863,115,264,828.80
  6. Step 6: Final answer
    x = 1,292,931,471,374.40

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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.