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Finding the Fourth Proportional to 1,004,039,964.20, 1,506,059,946.36 and 1,004,039,964.20

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Solution

The fourth proportional to 1,004,039,964.20, 1,506,059,946.36 and 1,004,039,964.20 is: 1,506,059,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,039,964.20 : 1,506,059,946.36 = 1,004,039,964.20 : x
  2. Step 2: Convert to fraction form
    1,004,039,964.20/1,506,059,946.36 = 1,004,039,964.20/x
  3. Step 3: Cross multiply
    1,004,039,964.20x = 1,506,059,946.36 × 1,004,039,964.20
  4. Step 4: Simplify right side
    1,004,039,964.20x = 1,512,144,374,626,348,288
  5. Step 5: Solve for x
    x = 1,512,144,374,626,348,288/1,004,039,964.20
  6. Step 6: Final answer
    x = 1,506,059,946.36

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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.