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Finding the Fourth Proportional to 713,103,014.97, 983,991,248.73 and 415,670,840.01

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Solution

The fourth proportional to 713,103,014.97, 983,991,248.73 and 415,670,840.01 is: 573,572,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,103,014.97 : 983,991,248.73 = 415,670,840.01 : x
  2. Step 2: Convert to fraction form
    713,103,014.97/983,991,248.73 = 415,670,840.01/x
  3. Step 3: Cross multiply
    713,103,014.97x = 983,991,248.73 × 415,670,840.01
  4. Step 4: Simplify right side
    713,103,014.97x = 409,016,468,922,087,936
  5. Step 5: Solve for x
    x = 409,016,468,922,087,936/713,103,014.97
  6. Step 6: Final answer
    x = 573,572,766.26

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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.