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Finding the Fourth Proportional to 90,817,362,004.15, 136,226,043,006.22 and 90,817,362,004.15

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Solution

The fourth proportional to 90,817,362,004.15, 136,226,043,006.22 and 90,817,362,004.15 is: 136,226,043,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,817,362,004.15 : 136,226,043,006.22 = 90,817,362,004.15 : x
  2. Step 2: Convert to fraction form
    90,817,362,004.15/136,226,043,006.22 = 90,817,362,004.15/x
  3. Step 3: Cross multiply
    90,817,362,004.15x = 136,226,043,006.22 × 90,817,362,004.15
  4. Step 4: Simplify right side
    90,817,362,004.15x = 12,371,689,862,088,787,755,008
  5. Step 5: Solve for x
    x = 12,371,689,862,088,787,755,008/90,817,362,004.15
  6. Step 6: Final answer
    x = 136,226,043,006.22

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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.