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Finding the Fourth Proportional to 6,833,182,149.60, 10,249,773,224.40 and 6,833,182,149.60

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Solution

The fourth proportional to 6,833,182,149.60, 10,249,773,224.40 and 6,833,182,149.60 is: 10,249,773,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833,182,149.60 : 10,249,773,224.40 = 6,833,182,149.60 : x
  2. Step 2: Convert to fraction form
    6,833,182,149.60/10,249,773,224.40 = 6,833,182,149.60/x
  3. Step 3: Cross multiply
    6,833,182,149.60x = 10,249,773,224.40 × 6,833,182,149.60
  4. Step 4: Simplify right side
    6,833,182,149.60x = 70,038,567,434,418,118,656
  5. Step 5: Solve for x
    x = 70,038,567,434,418,118,656/6,833,182,149.60
  6. Step 6: Final answer
    x = 10,249,773,224.40

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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.