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Finding the Fourth Proportional to 434,455,526,230.60, 651,683,289,345.90 and 434,455,526,230.60

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Solution

The fourth proportional to 434,455,526,230.60, 651,683,289,345.90 and 434,455,526,230.60 is: 651,683,289,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,455,526,230.60 : 651,683,289,345.90 = 434,455,526,230.60 : x
  2. Step 2: Convert to fraction form
    434,455,526,230.60/651,683,289,345.90 = 434,455,526,230.60/x
  3. Step 3: Cross multiply
    434,455,526,230.60x = 651,683,289,345.90 × 434,455,526,230.60
  4. Step 4: Simplify right side
    434,455,526,230.60x = 283,127,406,408,461,350,600,704
  5. Step 5: Solve for x
    x = 283,127,406,408,461,350,600,704/434,455,526,230.60
  6. Step 6: Final answer
    x = 651,683,289,345.90

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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.