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Finding the Fourth Proportional to 96,535,950,851.20, 144,803,926,276.80 and 96,535,950,851.20

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Solution

The fourth proportional to 96,535,950,851.20, 144,803,926,276.80 and 96,535,950,851.20 is: 144,803,926,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,535,950,851.20 : 144,803,926,276.80 = 96,535,950,851.20 : x
  2. Step 2: Convert to fraction form
    96,535,950,851.20/144,803,926,276.80 = 96,535,950,851.20/x
  3. Step 3: Cross multiply
    96,535,950,851.20x = 144,803,926,276.80 × 96,535,950,851.20
  4. Step 4: Simplify right side
    96,535,950,851.20x = 13,978,784,710,117,950,488,576
  5. Step 5: Solve for x
    x = 13,978,784,710,117,950,488,576/96,535,950,851.20
  6. Step 6: Final answer
    x = 144,803,926,276.80

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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.