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Finding the Fourth Proportional to 7,009,756.35, 9,827,830.65 and 7,009,756.35

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Solution

The fourth proportional to 7,009,756.35, 9,827,830.65 and 7,009,756.35 is: 9,827,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009,756.35 : 9,827,830.65 = 7,009,756.35 : x
  2. Step 2: Convert to fraction form
    7,009,756.35/9,827,830.65 = 7,009,756.35/x
  3. Step 3: Cross multiply
    7,009,756.35x = 9,827,830.65 × 7,009,756.35
  4. Step 4: Simplify right side
    7,009,756.35x = 68,890,698,305,562.12
  5. Step 5: Solve for x
    x = 68,890,698,305,562.12/7,009,756.35
  6. Step 6: Final answer
    x = 9,827,830.65

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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.