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Finding the Fourth Proportional to 764,006,443.30, 1,146,009,664.95 and 764,006,443.30

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Solution

The fourth proportional to 764,006,443.30, 1,146,009,664.95 and 764,006,443.30 is: 1,146,009,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,006,443.30 : 1,146,009,664.95 = 764,006,443.30 : x
  2. Step 2: Convert to fraction form
    764,006,443.30/1,146,009,664.95 = 764,006,443.30/x
  3. Step 3: Cross multiply
    764,006,443.30x = 1,146,009,664.95 × 764,006,443.30
  4. Step 4: Simplify right side
    764,006,443.30x = 875,558,768,105,874,176
  5. Step 5: Solve for x
    x = 875,558,768,105,874,176/764,006,443.30
  6. Step 6: Final answer
    x = 1,146,009,664.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.