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Finding the Fourth Proportional to 1,004,029,832.70, 1,506,044,749.11 and 1,004,029,832.70

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Solution

The fourth proportional to 1,004,029,832.70, 1,506,044,749.11 and 1,004,029,832.70 is: 1,506,044,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,029,832.70 : 1,506,044,749.11 = 1,004,029,832.70 : x
  2. Step 2: Convert to fraction form
    1,004,029,832.70/1,506,044,749.11 = 1,004,029,832.70/x
  3. Step 3: Cross multiply
    1,004,029,832.70x = 1,506,044,749.11 × 1,004,029,832.70
  4. Step 4: Simplify right side
    1,004,029,832.70x = 1,512,113,857,487,626,752
  5. Step 5: Solve for x
    x = 1,512,113,857,487,626,752/1,004,029,832.70
  6. Step 6: Final answer
    x = 1,506,044,749.11

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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.