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Finding the Fourth Proportional to 835,488,014.40, 1,253,232,021.64 and 835,488,014.40

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Solution

The fourth proportional to 835,488,014.40, 1,253,232,021.64 and 835,488,014.40 is: 1,253,232,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,488,014.40 : 1,253,232,021.64 = 835,488,014.40 : x
  2. Step 2: Convert to fraction form
    835,488,014.40/1,253,232,021.64 = 835,488,014.40/x
  3. Step 3: Cross multiply
    835,488,014.40x = 1,253,232,021.64 × 835,488,014.40
  4. Step 4: Simplify right side
    835,488,014.40x = 1,047,060,333,342,501,504
  5. Step 5: Solve for x
    x = 1,047,060,333,342,501,504/835,488,014.40
  6. Step 6: Final answer
    x = 1,253,232,021.64

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