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Finding the Fourth Proportional to 101,817,688,506.90, 152,726,532,760.35 and 101,817,688,506.90

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Solution

The fourth proportional to 101,817,688,506.90, 152,726,532,760.35 and 101,817,688,506.90 is: 152,726,532,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,817,688,506.90 : 152,726,532,760.35 = 101,817,688,506.90 : x
  2. Step 2: Convert to fraction form
    101,817,688,506.90/152,726,532,760.35 = 101,817,688,506.90/x
  3. Step 3: Cross multiply
    101,817,688,506.90x = 152,726,532,760.35 × 101,817,688,506.90
  4. Step 4: Simplify right side
    101,817,688,506.90x = 15,550,262,539,332,173,692,928
  5. Step 5: Solve for x
    x = 15,550,262,539,332,173,692,928/101,817,688,506.90
  6. Step 6: Final answer
    x = 152,726,532,760.35

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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.