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Finding the Fourth Proportional to 610,759,938.80, 916,139,908.20 and 610,759,938.80

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Solution

The fourth proportional to 610,759,938.80, 916,139,908.20 and 610,759,938.80 is: 916,139,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,759,938.80 : 916,139,908.20 = 610,759,938.80 : x
  2. Step 2: Convert to fraction form
    610,759,938.80/916,139,908.20 = 610,759,938.80/x
  3. Step 3: Cross multiply
    610,759,938.80x = 916,139,908.20 × 610,759,938.80
  4. Step 4: Simplify right side
    610,759,938.80x = 559,541,554,264,469,632
  5. Step 5: Solve for x
    x = 559,541,554,264,469,632/610,759,938.80
  6. Step 6: Final answer
    x = 916,139,908.20

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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.