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Finding the Fourth Proportional to 271,308,528,047.15, 406,962,792,070.72 and 271,308,528,047.15

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Solution

The fourth proportional to 271,308,528,047.15, 406,962,792,070.72 and 271,308,528,047.15 is: 406,962,792,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,308,528,047.15 : 406,962,792,070.72 = 271,308,528,047.15 : x
  2. Step 2: Convert to fraction form
    271,308,528,047.15/406,962,792,070.72 = 271,308,528,047.15/x
  3. Step 3: Cross multiply
    271,308,528,047.15x = 406,962,792,070.72 × 271,308,528,047.15
  4. Step 4: Simplify right side
    271,308,528,047.15x = 110,412,476,086,665,397,403,648
  5. Step 5: Solve for x
    x = 110,412,476,086,665,397,403,648/271,308,528,047.15
  6. Step 6: Final answer
    x = 406,962,792,070.72

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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.