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Finding the Fourth Proportional to 767,757,662.64, 1,059,503,275.80 and 415,333,560

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Solution

The fourth proportional to 767,757,662.64, 1,059,503,275.80 and 415,333,560 is: 573,159,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,757,662.64 : 1,059,503,275.80 = 415,333,560 : x
  2. Step 2: Convert to fraction form
    767,757,662.64/1,059,503,275.80 = 415,333,560/x
  3. Step 3: Cross multiply
    767,757,662.64x = 1,059,503,275.80 × 415,333,560
  4. Step 4: Simplify right side
    767,757,662.64x = 440,047,267,369,675,840
  5. Step 5: Solve for x
    x = 440,047,267,369,675,840/767,757,662.64
  6. Step 6: Final answer
    x = 573,159,069.30

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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.