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Finding the Fourth Proportional to 271,201,248,037.20, 406,801,872,055.80 and 271,201,248,037.20

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Solution

The fourth proportional to 271,201,248,037.20, 406,801,872,055.80 and 271,201,248,037.20 is: 406,801,872,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,201,248,037.20 : 406,801,872,055.80 = 271,201,248,037.20 : x
  2. Step 2: Convert to fraction form
    271,201,248,037.20/406,801,872,055.80 = 271,201,248,037.20/x
  3. Step 3: Cross multiply
    271,201,248,037.20x = 406,801,872,055.80 × 271,201,248,037.20
  4. Step 4: Simplify right side
    271,201,248,037.20x = 110,325,175,405,402,308,739,072
  5. Step 5: Solve for x
    x = 110,325,175,405,402,308,739,072/271,201,248,037.20
  6. Step 6: Final answer
    x = 406,801,872,055.80

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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.