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Finding the Fourth Proportional to 261,385,407.40, 392,078,111.10 and 261,385,407.40

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Solution

The fourth proportional to 261,385,407.40, 392,078,111.10 and 261,385,407.40 is: 392,078,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,385,407.40 : 392,078,111.10 = 261,385,407.40 : x
  2. Step 2: Convert to fraction form
    261,385,407.40/392,078,111.10 = 261,385,407.40/x
  3. Step 3: Cross multiply
    261,385,407.40x = 392,078,111.10 × 261,385,407.40
  4. Step 4: Simplify right side
    261,385,407.40x = 102,483,496,802,495,968
  5. Step 5: Solve for x
    x = 102,483,496,802,495,968/261,385,407.40
  6. Step 6: Final answer
    x = 392,078,111.10

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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.