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Finding the Fourth Proportional to 982,001,773, 1,473,196,704.68 and 360,222,778.16

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Solution

The fourth proportional to 982,001,773, 1,473,196,704.68 and 360,222,778.16 is: 540,405,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,001,773 : 1,473,196,704.68 = 360,222,778.16 : x
  2. Step 2: Convert to fraction form
    982,001,773/1,473,196,704.68 = 360,222,778.16/x
  3. Step 3: Cross multiply
    982,001,773x = 1,473,196,704.68 × 360,222,778.16
  4. Step 4: Simplify right side
    982,001,773x = 530,679,009,735,986,752
  5. Step 5: Solve for x
    x = 530,679,009,735,986,752/982,001,773
  6. Step 6: Final answer
    x = 540,405,347.86

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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.