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Finding the Fourth Proportional to 101,817,688,511.40, 152,726,532,767.10 and 101,817,688,511.40

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Solution

The fourth proportional to 101,817,688,511.40, 152,726,532,767.10 and 101,817,688,511.40 is: 152,726,532,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,817,688,511.40 : 152,726,532,767.10 = 101,817,688,511.40 : x
  2. Step 2: Convert to fraction form
    101,817,688,511.40/152,726,532,767.10 = 101,817,688,511.40/x
  3. Step 3: Cross multiply
    101,817,688,511.40x = 152,726,532,767.10 × 101,817,688,511.40
  4. Step 4: Simplify right side
    101,817,688,511.40x = 15,550,262,540,706,712,125,440
  5. Step 5: Solve for x
    x = 15,550,262,540,706,712,125,440/101,817,688,511.40
  6. Step 6: Final answer
    x = 152,726,532,767.10

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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.