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Finding the Fourth Proportional to 4,549,841,641.45, 6,824,762,462.18 and 4,549,841,641.45

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Solution

The fourth proportional to 4,549,841,641.45, 6,824,762,462.18 and 4,549,841,641.45 is: 6,824,762,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549,841,641.45 : 6,824,762,462.18 = 4,549,841,641.45 : x
  2. Step 2: Convert to fraction form
    4,549,841,641.45/6,824,762,462.18 = 4,549,841,641.45/x
  3. Step 3: Cross multiply
    4,549,841,641.45x = 6,824,762,462.18 × 4,549,841,641.45
  4. Step 4: Simplify right side
    4,549,841,641.45x = 31,051,588,443,431,395,328
  5. Step 5: Solve for x
    x = 31,051,588,443,431,395,328/4,549,841,641.45
  6. Step 6: Final answer
    x = 6,824,762,462.18

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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.