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Finding the Fourth Proportional to 200,461,345.20, 300,692,017.80 and 98,424,673.20

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Solution

The fourth proportional to 200,461,345.20, 300,692,017.80 and 98,424,673.20 is: 147,637,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,461,345.20 : 300,692,017.80 = 98,424,673.20 : x
  2. Step 2: Convert to fraction form
    200,461,345.20/300,692,017.80 = 98,424,673.20/x
  3. Step 3: Cross multiply
    200,461,345.20x = 300,692,017.80 × 98,424,673.20
  4. Step 4: Simplify right side
    200,461,345.20x = 29,595,513,585,813,584
  5. Step 5: Solve for x
    x = 29,595,513,585,813,584/200,461,345.20
  6. Step 6: Final answer
    x = 147,637,009.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.