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Finding the Fourth Proportional to 178,249,248,364.02, 267,373,872,546.02 and 178,249,248,364.02

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Solution

The fourth proportional to 178,249,248,364.02, 267,373,872,546.02 and 178,249,248,364.02 is: 267,373,872,546.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,249,248,364.02 : 267,373,872,546.02 = 178,249,248,364.02 : x
  2. Step 2: Convert to fraction form
    178,249,248,364.02/267,373,872,546.02 = 178,249,248,364.02/x
  3. Step 3: Cross multiply
    178,249,248,364.02x = 267,373,872,546.02 × 178,249,248,364.02
  4. Step 4: Simplify right side
    178,249,248,364.02x = 47,659,191,813,505,344,864,256
  5. Step 5: Solve for x
    x = 47,659,191,813,505,344,864,256/178,249,248,364.02
  6. Step 6: Final answer
    x = 267,373,872,546.02

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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.