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Finding the Fourth Proportional to 288,287,424,005.40, 432,431,136,008.10 and 288,287,424,005.40

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Solution

The fourth proportional to 288,287,424,005.40, 432,431,136,008.10 and 288,287,424,005.40 is: 432,431,136,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,287,424,005.40 : 432,431,136,008.10 = 288,287,424,005.40 : x
  2. Step 2: Convert to fraction form
    288,287,424,005.40/432,431,136,008.10 = 288,287,424,005.40/x
  3. Step 3: Cross multiply
    288,287,424,005.40x = 432,431,136,008.10 × 288,287,424,005.40
  4. Step 4: Simplify right side
    288,287,424,005.40x = 124,664,458,259,503,920,447,488
  5. Step 5: Solve for x
    x = 124,664,458,259,503,920,447,488/288,287,424,005.40
  6. Step 6: Final answer
    x = 432,431,136,008.10

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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.