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Finding the Fourth Proportional to 1,235,297,277.02, 1,852,941,873.95 and 448,349,881.02

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Solution

The fourth proportional to 1,235,297,277.02, 1,852,941,873.95 and 448,349,881.02 is: 672,523,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,297,277.02 : 1,852,941,873.95 = 448,349,881.02 : x
  2. Step 2: Convert to fraction form
    1,235,297,277.02/1,852,941,873.95 = 448,349,881.02/x
  3. Step 3: Cross multiply
    1,235,297,277.02x = 1,852,941,873.95 × 448,349,881.02
  4. Step 4: Simplify right side
    1,235,297,277.02x = 830,766,268,713,652,992
  5. Step 5: Solve for x
    x = 830,766,268,713,652,992/1,235,297,277.02
  6. Step 6: Final answer
    x = 672,523,354.64

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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.