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Finding the Fourth Proportional to 288,287,424,023.60, 432,431,136,035.40 and 288,287,424,023.60

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Solution

The fourth proportional to 288,287,424,023.60, 432,431,136,035.40 and 288,287,424,023.60 is: 432,431,136,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,287,424,023.60 : 432,431,136,035.40 = 288,287,424,023.60 : x
  2. Step 2: Convert to fraction form
    288,287,424,023.60/432,431,136,035.40 = 288,287,424,023.60/x
  3. Step 3: Cross multiply
    288,287,424,023.60x = 432,431,136,035.40 × 288,287,424,023.60
  4. Step 4: Simplify right side
    288,287,424,023.60x = 124,664,458,275,244,405,161,984
  5. Step 5: Solve for x
    x = 124,664,458,275,244,405,161,984/288,287,424,023.60
  6. Step 6: Final answer
    x = 432,431,136,035.40

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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.