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Finding the Fourth Proportional to 120,672,783,007.65, 181,009,174,511.47 and 120,672,783,007.65

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Solution

The fourth proportional to 120,672,783,007.65, 181,009,174,511.47 and 120,672,783,007.65 is: 181,009,174,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,672,783,007.65 : 181,009,174,511.47 = 120,672,783,007.65 : x
  2. Step 2: Convert to fraction form
    120,672,783,007.65/181,009,174,511.47 = 120,672,783,007.65/x
  3. Step 3: Cross multiply
    120,672,783,007.65x = 181,009,174,511.47 × 120,672,783,007.65
  4. Step 4: Simplify right side
    120,672,783,007.65x = 21,842,880,838,216,468,922,368
  5. Step 5: Solve for x
    x = 21,842,880,838,216,468,922,368/120,672,783,007.65
  6. Step 6: Final answer
    x = 181,009,174,511.47

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1.5x scale

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.