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Finding the Fourth Proportional to 284,175,090.90, 426,262,636.35 and 284,175,090.90

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Solution

The fourth proportional to 284,175,090.90, 426,262,636.35 and 284,175,090.90 is: 426,262,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,175,090.90 : 426,262,636.35 = 284,175,090.90 : x
  2. Step 2: Convert to fraction form
    284,175,090.90/426,262,636.35 = 284,175,090.90/x
  3. Step 3: Cross multiply
    284,175,090.90x = 426,262,636.35 × 284,175,090.90
  4. Step 4: Simplify right side
    284,175,090.90x = 121,133,223,432,034,896
  5. Step 5: Solve for x
    x = 121,133,223,432,034,896/284,175,090.90
  6. Step 6: Final answer
    x = 426,262,636.35

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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.