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Finding the Fourth Proportional to 5,350,547,990,733.30, 8,025,821,986,100.10 and 5,350,547,990,733.30

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Solution

The fourth proportional to 5,350,547,990,733.30, 8,025,821,986,100.10 and 5,350,547,990,733.30 is: 8,025,821,986,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350,547,990,733.30 : 8,025,821,986,100.10 = 5,350,547,990,733.30 : x
  2. Step 2: Convert to fraction form
    5,350,547,990,733.30/8,025,821,986,100.10 = 5,350,547,990,733.30/x
  3. Step 3: Cross multiply
    5,350,547,990,733.30x = 8,025,821,986,100.10 × 5,350,547,990,733.30
  4. Step 4: Simplify right side
    5,350,547,990,733.30x = 42,942,545,701,711,031,128,031,232
  5. Step 5: Solve for x
    x = 42,942,545,701,711,031,128,031,232/5,350,547,990,733.30
  6. Step 6: Final answer
    x = 8,025,821,986,100.10

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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.