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Finding the Fourth Proportional to 7,009,712.10, 9,827,768.70 and 7,009,712.10

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Solution

The fourth proportional to 7,009,712.10, 9,827,768.70 and 7,009,712.10 is: 9,827,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009,712.10 : 9,827,768.70 = 7,009,712.10 : x
  2. Step 2: Convert to fraction form
    7,009,712.10/9,827,768.70 = 7,009,712.10/x
  3. Step 3: Cross multiply
    7,009,712.10x = 9,827,768.70 × 7,009,712.10
  4. Step 4: Simplify right side
    7,009,712.10x = 68,889,829,172,391.26
  5. Step 5: Solve for x
    x = 68,889,829,172,391.26/7,009,712.10
  6. Step 6: Final answer
    x = 9,827,768.70

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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.