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Finding the Fourth Proportional to 697,874,988.44, 963,024,212.94 and 384,591,699.92

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Solution

The fourth proportional to 697,874,988.44, 963,024,212.94 and 384,591,699.92 is: 530,712,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,874,988.44 : 963,024,212.94 = 384,591,699.92 : x
  2. Step 2: Convert to fraction form
    697,874,988.44/963,024,212.94 = 384,591,699.92/x
  3. Step 3: Cross multiply
    697,874,988.44x = 963,024,212.94 × 384,591,699.92
  4. Step 4: Simplify right side
    697,874,988.44x = 370,371,119,118,714,688
  5. Step 5: Solve for x
    x = 370,371,119,118,714,688/697,874,988.44
  6. Step 6: Final answer
    x = 530,712,699.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.