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Finding the Fourth Proportional to 780,024,978,064.95, 1,170,037,467,097.40 and 780,024,978,064.95

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Solution

The fourth proportional to 780,024,978,064.95, 1,170,037,467,097.40 and 780,024,978,064.95 is: 1,170,037,467,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,024,978,064.95 : 1,170,037,467,097.40 = 780,024,978,064.95 : x
  2. Step 2: Convert to fraction form
    780,024,978,064.95/1,170,037,467,097.40 = 780,024,978,064.95/x
  3. Step 3: Cross multiply
    780,024,978,064.95x = 1,170,037,467,097.40 × 780,024,978,064.95
  4. Step 4: Simplify right side
    780,024,978,064.95x = 912,658,449,607,818,920,067,072
  5. Step 5: Solve for x
    x = 912,658,449,607,818,920,067,072/780,024,978,064.95
  6. Step 6: Final answer
    x = 1,170,037,467,097.40

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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.