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Finding the Fourth Proportional to 613,872,001.80, 920,808,002.70 and 535,042,024.20

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Solution

The fourth proportional to 613,872,001.80, 920,808,002.70 and 535,042,024.20 is: 802,563,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,872,001.80 : 920,808,002.70 = 535,042,024.20 : x
  2. Step 2: Convert to fraction form
    613,872,001.80/920,808,002.70 = 535,042,024.20/x
  3. Step 3: Cross multiply
    613,872,001.80x = 920,808,002.70 × 535,042,024.20
  4. Step 4: Simplify right side
    613,872,001.80x = 492,670,977,664,167,104
  5. Step 5: Solve for x
    x = 492,670,977,664,167,104/613,872,001.80
  6. Step 6: Final answer
    x = 802,563,036.30

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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.