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Finding the Fourth Proportional to 177,411,973.40, 266,117,960.10 and 177,411,973.40

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Solution

The fourth proportional to 177,411,973.40, 266,117,960.10 and 177,411,973.40 is: 266,117,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,411,973.40 : 266,117,960.10 = 177,411,973.40 : x
  2. Step 2: Convert to fraction form
    177,411,973.40/266,117,960.10 = 177,411,973.40/x
  3. Step 3: Cross multiply
    177,411,973.40x = 266,117,960.10 × 177,411,973.40
  4. Step 4: Simplify right side
    177,411,973.40x = 47,212,512,458,523,464
  5. Step 5: Solve for x
    x = 47,212,512,458,523,464/177,411,973.40
  6. Step 6: Final answer
    x = 266,117,960.10

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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.