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Finding the Fourth Proportional to 310,283,298,049.80, 465,424,947,074.70 and 310,283,298,049.80

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Solution

The fourth proportional to 310,283,298,049.80, 465,424,947,074.70 and 310,283,298,049.80 is: 465,424,947,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,283,298,049.80 : 465,424,947,074.70 = 310,283,298,049.80 : x
  2. Step 2: Convert to fraction form
    310,283,298,049.80/465,424,947,074.70 = 310,283,298,049.80/x
  3. Step 3: Cross multiply
    310,283,298,049.80x = 465,424,947,074.70 × 310,283,298,049.80
  4. Step 4: Simplify right side
    310,283,298,049.80x = 144,413,587,572,991,528,534,016
  5. Step 5: Solve for x
    x = 144,413,587,572,991,528,534,016/310,283,298,049.80
  6. Step 6: Final answer
    x = 465,424,947,074.70

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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.