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Finding the Fourth Proportional to 108,980,644,424.80, 163,470,966,637.20 and 108,980,644,424.80

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Solution

The fourth proportional to 108,980,644,424.80, 163,470,966,637.20 and 108,980,644,424.80 is: 163,470,966,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,980,644,424.80 : 163,470,966,637.20 = 108,980,644,424.80 : x
  2. Step 2: Convert to fraction form
    108,980,644,424.80/163,470,966,637.20 = 108,980,644,424.80/x
  3. Step 3: Cross multiply
    108,980,644,424.80x = 163,470,966,637.20 × 108,980,644,424.80
  4. Step 4: Simplify right side
    108,980,644,424.80x = 17,815,171,288,867,037,773,824
  5. Step 5: Solve for x
    x = 17,815,171,288,867,037,773,824/108,980,644,424.80
  6. Step 6: Final answer
    x = 163,470,966,637.20

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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.