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Finding the Fourth Proportional to 7,243,367,830.40, 10,865,051,745.60 and 7,243,367,830.40

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Solution

The fourth proportional to 7,243,367,830.40, 10,865,051,745.60 and 7,243,367,830.40 is: 10,865,051,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243,367,830.40 : 10,865,051,745.60 = 7,243,367,830.40 : x
  2. Step 2: Convert to fraction form
    7,243,367,830.40/10,865,051,745.60 = 7,243,367,830.40/x
  3. Step 3: Cross multiply
    7,243,367,830.40x = 10,865,051,745.60 × 7,243,367,830.40
  4. Step 4: Simplify right side
    7,243,367,830.40x = 78,699,566,289,710,399,488
  5. Step 5: Solve for x
    x = 78,699,566,289,710,399,488/7,243,367,830.40
  6. Step 6: Final answer
    x = 10,865,051,745.60

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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.