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Finding the Fourth Proportional to 7,830,051.90, 10,973,270.10 and 7,830,051.90

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Solution

The fourth proportional to 7,830,051.90, 10,973,270.10 and 7,830,051.90 is: 10,973,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830,051.90 : 10,973,270.10 = 7,830,051.90 : x
  2. Step 2: Convert to fraction form
    7,830,051.90/10,973,270.10 = 7,830,051.90/x
  3. Step 3: Cross multiply
    7,830,051.90x = 10,973,270.10 × 7,830,051.90
  4. Step 4: Simplify right side
    7,830,051.90x = 85,921,274,395,718.19
  5. Step 5: Solve for x
    x = 85,921,274,395,718.19/7,830,051.90
  6. Step 6: Final answer
    x = 10,973,270.10

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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.