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Finding the Fourth Proportional to 463,574,151,310.40, 695,361,226,965.60 and 463,574,151,310.40

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Solution

The fourth proportional to 463,574,151,310.40, 695,361,226,965.60 and 463,574,151,310.40 is: 695,361,226,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,574,151,310.40 : 695,361,226,965.60 = 463,574,151,310.40 : x
  2. Step 2: Convert to fraction form
    463,574,151,310.40/695,361,226,965.60 = 463,574,151,310.40/x
  3. Step 3: Cross multiply
    463,574,151,310.40x = 695,361,226,965.60 × 463,574,151,310.40
  4. Step 4: Simplify right side
    463,574,151,310.40x = 322,351,490,644,736,477,233,152
  5. Step 5: Solve for x
    x = 322,351,490,644,736,477,233,152/463,574,151,310.40
  6. Step 6: Final answer
    x = 695,361,226,965.60

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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.