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Finding the Fourth Proportional to 90,817,362,007.65, 136,226,043,011.47 and 90,817,362,007.65

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Solution

The fourth proportional to 90,817,362,007.65, 136,226,043,011.47 and 90,817,362,007.65 is: 136,226,043,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,817,362,007.65 : 136,226,043,011.47 = 90,817,362,007.65 : x
  2. Step 2: Convert to fraction form
    90,817,362,007.65/136,226,043,011.47 = 90,817,362,007.65/x
  3. Step 3: Cross multiply
    90,817,362,007.65x = 136,226,043,011.47 × 90,817,362,007.65
  4. Step 4: Simplify right side
    90,817,362,007.65x = 12,371,689,863,042,369,060,864
  5. Step 5: Solve for x
    x = 12,371,689,863,042,369,060,864/90,817,362,007.65
  6. Step 6: Final answer
    x = 136,226,043,011.47

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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.