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Finding the Fourth Proportional to 1,506,096,019.80, 2,259,144,029.73 and 1,506,096,019.80

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Solution

The fourth proportional to 1,506,096,019.80, 2,259,144,029.73 and 1,506,096,019.80 is: 2,259,144,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506,096,019.80 : 2,259,144,029.73 = 1,506,096,019.80 : x
  2. Step 2: Convert to fraction form
    1,506,096,019.80/2,259,144,029.73 = 1,506,096,019.80/x
  3. Step 3: Cross multiply
    1,506,096,019.80x = 2,259,144,029.73 × 1,506,096,019.80
  4. Step 4: Simplify right side
    1,506,096,019.80x = 3,402,487,831,331,286,016
  5. Step 5: Solve for x
    x = 3,402,487,831,331,286,016/1,506,096,019.80
  6. Step 6: Final answer
    x = 2,259,144,029.73

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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.