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Finding the Fourth Proportional to 1,300,665,924.14, 1,794,920,303.71 and 705,950,531.09

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Solution

The fourth proportional to 1,300,665,924.14, 1,794,920,303.71 and 705,950,531.09 is: 974,212,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,665,924.14 : 1,794,920,303.71 = 705,950,531.09 : x
  2. Step 2: Convert to fraction form
    1,300,665,924.14/1,794,920,303.71 = 705,950,531.09/x
  3. Step 3: Cross multiply
    1,300,665,924.14x = 1,794,920,303.71 × 705,950,531.09
  4. Step 4: Simplify right side
    1,300,665,924.14x = 1,267,124,941,657,559,296
  5. Step 5: Solve for x
    x = 1,267,124,941,657,559,296/1,300,665,924.14
  6. Step 6: Final answer
    x = 974,212,453.90

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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.