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Finding the Fourth Proportional to 10,569,945.60, 14,817,830.40 and 10,569,945.60

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Solution

The fourth proportional to 10,569,945.60, 14,817,830.40 and 10,569,945.60 is: 14,817,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569,945.60 : 14,817,830.40 = 10,569,945.60 : x
  2. Step 2: Convert to fraction form
    10,569,945.60/14,817,830.40 = 10,569,945.60/x
  3. Step 3: Cross multiply
    10,569,945.60x = 14,817,830.40 × 10,569,945.60
  4. Step 4: Simplify right side
    10,569,945.60x = 156,623,661,238,026.25
  5. Step 5: Solve for x
    x = 156,623,661,238,026.25/10,569,945.60
  6. Step 6: Final answer
    x = 14,817,830.40

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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.