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Finding the Fourth Proportional to 657,767,690.01, 986,775,973.86 and 264,325,144.10

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Solution

The fourth proportional to 657,767,690.01, 986,775,973.86 and 264,325,144.10 is: 396,537,722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,767,690.01 : 986,775,973.86 = 264,325,144.10 : x
  2. Step 2: Convert to fraction form
    657,767,690.01/986,775,973.86 = 264,325,144.10/x
  3. Step 3: Cross multiply
    657,767,690.01x = 986,775,973.86 × 264,325,144.10
  4. Step 4: Simplify right side
    657,767,690.01x = 260,829,701,484,334,432
  5. Step 5: Solve for x
    x = 260,829,701,484,334,432/657,767,690.01
  6. Step 6: Final answer
    x = 396,537,722.13

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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.