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Finding the Fourth Proportional to 10,516,415.40, 15,774,623.10 and 10,516,415.40

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Solution

The fourth proportional to 10,516,415.40, 15,774,623.10 and 10,516,415.40 is: 15,774,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516,415.40 : 15,774,623.10 = 10,516,415.40 : x
  2. Step 2: Convert to fraction form
    10,516,415.40/15,774,623.10 = 10,516,415.40/x
  3. Step 3: Cross multiply
    10,516,415.40x = 15,774,623.10 × 10,516,415.40
  4. Step 4: Simplify right side
    10,516,415.40x = 165,892,489,298,035.75
  5. Step 5: Solve for x
    x = 165,892,489,298,035.75/10,516,415.40
  6. Step 6: Final answer
    x = 15,774,623.10

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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.