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Finding the Fourth Proportional to 146,677,771,818.40, 220,016,657,727.60 and 146,677,771,818.40

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Solution

The fourth proportional to 146,677,771,818.40, 220,016,657,727.60 and 146,677,771,818.40 is: 220,016,657,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,677,771,818.40 : 220,016,657,727.60 = 146,677,771,818.40 : x
  2. Step 2: Convert to fraction form
    146,677,771,818.40/220,016,657,727.60 = 146,677,771,818.40/x
  3. Step 3: Cross multiply
    146,677,771,818.40x = 220,016,657,727.60 × 146,677,771,818.40
  4. Step 4: Simplify right side
    146,677,771,818.40x = 32,271,553,118,415,924,232,192
  5. Step 5: Solve for x
    x = 32,271,553,118,415,924,232,192/146,677,771,818.40
  6. Step 6: Final answer
    x = 220,016,657,727.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.