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Finding the Fourth Proportional to 6,576,604,837.65, 9,864,907,256.49 and 6,576,604,837.65

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Solution

The fourth proportional to 6,576,604,837.65, 9,864,907,256.49 and 6,576,604,837.65 is: 9,864,907,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576,604,837.65 : 9,864,907,256.49 = 6,576,604,837.65 : x
  2. Step 2: Convert to fraction form
    6,576,604,837.65/9,864,907,256.49 = 6,576,604,837.65/x
  3. Step 3: Cross multiply
    6,576,604,837.65x = 9,864,907,256.49 × 6,576,604,837.65
  4. Step 4: Simplify right side
    6,576,604,837.65x = 64,877,596,786,000,715,776
  5. Step 5: Solve for x
    x = 64,877,596,786,000,715,776/6,576,604,837.65
  6. Step 6: Final answer
    x = 9,864,907,256.49

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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.