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Finding the Fourth Proportional to 1,769,609,024.64, 2,654,117,590.70 and 648,901,095.50

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Solution

The fourth proportional to 1,769,609,024.64, 2,654,117,590.70 and 648,901,095.50 is: 973,243,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,609,024.64 : 2,654,117,590.70 = 648,901,095.50 : x
  2. Step 2: Convert to fraction form
    1,769,609,024.64/2,654,117,590.70 = 648,901,095.50/x
  3. Step 3: Cross multiply
    1,769,609,024.64x = 2,654,117,590.70 × 648,901,095.50
  4. Step 4: Simplify right side
    1,769,609,024.64x = 1,722,259,812,191,050,496
  5. Step 5: Solve for x
    x = 1,722,259,812,191,050,496/1,769,609,024.64
  6. Step 6: Final answer
    x = 973,243,122.19

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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.