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Finding the Fourth Proportional to 402,019,664.40, 563,592,805.20 and 402,019,664.40

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Solution

The fourth proportional to 402,019,664.40, 563,592,805.20 and 402,019,664.40 is: 563,592,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,019,664.40 : 563,592,805.20 = 402,019,664.40 : x
  2. Step 2: Convert to fraction form
    402,019,664.40/563,592,805.20 = 402,019,664.40/x
  3. Step 3: Cross multiply
    402,019,664.40x = 563,592,805.20 × 402,019,664.40
  4. Step 4: Simplify right side
    402,019,664.40x = 226,575,390,404,758,592
  5. Step 5: Solve for x
    x = 226,575,390,404,758,592/402,019,664.40
  6. Step 6: Final answer
    x = 563,592,805.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.