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Finding the Fourth Proportional to 260,016,173.02, 358,845,019.32 and 142,564,203.64

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Solution

The fourth proportional to 260,016,173.02, 358,845,019.32 and 142,564,203.64 is: 196,751,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,016,173.02 : 358,845,019.32 = 142,564,203.64 : x
  2. Step 2: Convert to fraction form
    260,016,173.02/358,845,019.32 = 142,564,203.64/x
  3. Step 3: Cross multiply
    260,016,173.02x = 358,845,019.32 × 142,564,203.64
  4. Step 4: Simplify right side
    260,016,173.02x = 51,158,454,409,536,208
  5. Step 5: Solve for x
    x = 51,158,454,409,536,208/260,016,173.02
  6. Step 6: Final answer
    x = 196,751,047.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.