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Finding the Fourth Proportional to 66,843,468,140.10, 100,265,202,210.15 and 66,843,468,140.10

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Solution

The fourth proportional to 66,843,468,140.10, 100,265,202,210.15 and 66,843,468,140.10 is: 100,265,202,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,843,468,140.10 : 100,265,202,210.15 = 66,843,468,140.10 : x
  2. Step 2: Convert to fraction form
    66,843,468,140.10/100,265,202,210.15 = 66,843,468,140.10/x
  3. Step 3: Cross multiply
    66,843,468,140.10x = 100,265,202,210.15 × 66,843,468,140.10
  4. Step 4: Simplify right side
    66,843,468,140.10x = 6,702,073,849,494,845,259,776
  5. Step 5: Solve for x
    x = 6,702,073,849,494,845,259,776/66,843,468,140.10
  6. Step 6: Final answer
    x = 100,265,202,210.15

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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.