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Finding the Fourth Proportional to 48,267,975,421.60, 72,401,963,132.40 and 48,267,975,421.60

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Solution

The fourth proportional to 48,267,975,421.60, 72,401,963,132.40 and 48,267,975,421.60 is: 72,401,963,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,267,975,421.60 : 72,401,963,132.40 = 48,267,975,421.60 : x
  2. Step 2: Convert to fraction form
    48,267,975,421.60/72,401,963,132.40 = 48,267,975,421.60/x
  3. Step 3: Cross multiply
    48,267,975,421.60x = 72,401,963,132.40 × 48,267,975,421.60
  4. Step 4: Simplify right side
    48,267,975,421.60x = 3,494,696,176,950,272,065,536
  5. Step 5: Solve for x
    x = 3,494,696,176,950,272,065,536/48,267,975,421.60
  6. Step 6: Final answer
    x = 72,401,963,132.40

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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.