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Finding the Fourth Proportional to 114,973,754,561.60, 172,460,631,842.40 and 114,973,754,561.60

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Solution

The fourth proportional to 114,973,754,561.60, 172,460,631,842.40 and 114,973,754,561.60 is: 172,460,631,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,973,754,561.60 : 172,460,631,842.40 = 114,973,754,561.60 : x
  2. Step 2: Convert to fraction form
    114,973,754,561.60/172,460,631,842.40 = 114,973,754,561.60/x
  3. Step 3: Cross multiply
    114,973,754,561.60x = 172,460,631,842.40 × 114,973,754,561.60
  4. Step 4: Simplify right side
    114,973,754,561.60x = 19,828,446,356,986,556,055,552
  5. Step 5: Solve for x
    x = 19,828,446,356,986,556,055,552/114,973,754,561.60
  6. Step 6: Final answer
    x = 172,460,631,842.40

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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.