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Finding the Fourth Proportional to 807,461,760.13, 1,114,504,554.91 and 525,905,813

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Solution

The fourth proportional to 807,461,760.13, 1,114,504,554.91 and 525,905,813 is: 725,885,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,461,760.13 : 1,114,504,554.91 = 525,905,813 : x
  2. Step 2: Convert to fraction form
    807,461,760.13/1,114,504,554.91 = 525,905,813/x
  3. Step 3: Cross multiply
    807,461,760.13x = 1,114,504,554.91 × 525,905,813
  4. Step 4: Simplify right side
    807,461,760.13x = 586,124,424,042,146,688
  5. Step 5: Solve for x
    x = 586,124,424,042,146,688/807,461,760.13
  6. Step 6: Final answer
    x = 725,885,054.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.