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Finding the Fourth Proportional to 7,430,784.35, 10,381,840.45 and 7,430,784.35

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Solution

The fourth proportional to 7,430,784.35, 10,381,840.45 and 7,430,784.35 is: 10,381,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430,784.35 : 10,381,840.45 = 7,430,784.35 : x
  2. Step 2: Convert to fraction form
    7,430,784.35/10,381,840.45 = 7,430,784.35/x
  3. Step 3: Cross multiply
    7,430,784.35x = 10,381,840.45 × 7,430,784.35
  4. Step 4: Simplify right side
    7,430,784.35x = 77,145,217,540,056.95
  5. Step 5: Solve for x
    x = 77,145,217,540,056.95/7,430,784.35
  6. Step 6: Final answer
    x = 10,381,840.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.