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Finding the Fourth Proportional to 101,817,688,509.52, 152,726,532,764.28 and 101,817,688,509.52

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Solution

The fourth proportional to 101,817,688,509.52, 152,726,532,764.28 and 101,817,688,509.52 is: 152,726,532,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,817,688,509.52 : 152,726,532,764.28 = 101,817,688,509.52 : x
  2. Step 2: Convert to fraction form
    101,817,688,509.52/152,726,532,764.28 = 101,817,688,509.52/x
  3. Step 3: Cross multiply
    101,817,688,509.52x = 152,726,532,764.28 × 101,817,688,509.52
  4. Step 4: Simplify right side
    101,817,688,509.52x = 15,550,262,540,132,461,576,192
  5. Step 5: Solve for x
    x = 15,550,262,540,132,461,576,192/101,817,688,509.52
  6. Step 6: Final answer
    x = 152,726,532,764.28

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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.