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Finding the Fourth Proportional to 208,619,908,200.30, 312,929,862,300.45 and 208,619,908,200.30

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Solution

The fourth proportional to 208,619,908,200.30, 312,929,862,300.45 and 208,619,908,200.30 is: 312,929,862,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,619,908,200.30 : 312,929,862,300.45 = 208,619,908,200.30 : x
  2. Step 2: Convert to fraction form
    208,619,908,200.30/312,929,862,300.45 = 208,619,908,200.30/x
  3. Step 3: Cross multiply
    208,619,908,200.30x = 312,929,862,300.45 × 208,619,908,200.30
  4. Step 4: Simplify right side
    208,619,908,200.30x = 65,283,399,146,252,401,639,424
  5. Step 5: Solve for x
    x = 65,283,399,146,252,401,639,424/208,619,908,200.30
  6. Step 6: Final answer
    x = 312,929,862,300.45

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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.