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Finding the Fourth Proportional to 288,287,424,005.20, 432,431,136,007.80 and 288,287,424,005.20

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Solution

The fourth proportional to 288,287,424,005.20, 432,431,136,007.80 and 288,287,424,005.20 is: 432,431,136,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,287,424,005.20 : 432,431,136,007.80 = 288,287,424,005.20 : x
  2. Step 2: Convert to fraction form
    288,287,424,005.20/432,431,136,007.80 = 288,287,424,005.20/x
  3. Step 3: Cross multiply
    288,287,424,005.20x = 432,431,136,007.80 × 288,287,424,005.20
  4. Step 4: Simplify right side
    288,287,424,005.20x = 124,664,458,259,330,947,350,528
  5. Step 5: Solve for x
    x = 124,664,458,259,330,947,350,528/288,287,424,005.20
  6. Step 6: Final answer
    x = 432,431,136,007.80

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1.5x scale

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.