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Finding the Fourth Proportional to 688,857,953, 1,033,771,140.06 and 622,996,477.16

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Solution

The fourth proportional to 688,857,953, 1,033,771,140.06 and 622,996,477.16 is: 934,932,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,857,953 : 1,033,771,140.06 = 622,996,477.16 : x
  2. Step 2: Convert to fraction form
    688,857,953/1,033,771,140.06 = 622,996,477.16/x
  3. Step 3: Cross multiply
    688,857,953x = 1,033,771,140.06 × 622,996,477.16
  4. Step 4: Simplify right side
    688,857,953x = 644,035,778,447,056,896
  5. Step 5: Solve for x
    x = 644,035,778,447,056,896/688,857,953
  6. Step 6: Final answer
    x = 934,932,631.09

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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.