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Finding the Fourth Proportional to 130,865,846,645.40, 196,298,769,968.10 and 130,865,846,645.40

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Solution

The fourth proportional to 130,865,846,645.40, 196,298,769,968.10 and 130,865,846,645.40 is: 196,298,769,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,865,846,645.40 : 196,298,769,968.10 = 130,865,846,645.40 : x
  2. Step 2: Convert to fraction form
    130,865,846,645.40/196,298,769,968.10 = 130,865,846,645.40/x
  3. Step 3: Cross multiply
    130,865,846,645.40x = 196,298,769,968.10 × 130,865,846,645.40
  4. Step 4: Simplify right side
    130,865,846,645.40x = 25,688,804,727,326,026,760,192
  5. Step 5: Solve for x
    x = 25,688,804,727,326,026,760,192/130,865,846,645.40
  6. Step 6: Final answer
    x = 196,298,769,968.10

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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.