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Finding the Fourth Proportional to 9,307,939,506.40, 13,961,909,259.60 and 9,307,939,506.40

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Solution

The fourth proportional to 9,307,939,506.40, 13,961,909,259.60 and 9,307,939,506.40 is: 13,961,909,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307,939,506.40 : 13,961,909,259.60 = 9,307,939,506.40 : x
  2. Step 2: Convert to fraction form
    9,307,939,506.40/13,961,909,259.60 = 9,307,939,506.40/x
  3. Step 3: Cross multiply
    9,307,939,506.40x = 13,961,909,259.60 × 9,307,939,506.40
  4. Step 4: Simplify right side
    9,307,939,506.40x = 129,956,606,782,202,806,272
  5. Step 5: Solve for x
    x = 129,956,606,782,202,806,272/9,307,939,506.40
  6. Step 6: Final answer
    x = 13,961,909,259.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.