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Finding the Fourth Proportional to 172,482,088,643.40, 258,723,132,965.10 and 172,482,088,643.40

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Solution

The fourth proportional to 172,482,088,643.40, 258,723,132,965.10 and 172,482,088,643.40 is: 258,723,132,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,482,088,643.40 : 258,723,132,965.10 = 172,482,088,643.40 : x
  2. Step 2: Convert to fraction form
    172,482,088,643.40/258,723,132,965.10 = 172,482,088,643.40/x
  3. Step 3: Cross multiply
    172,482,088,643.40x = 258,723,132,965.10 × 172,482,088,643.40
  4. Step 4: Simplify right side
    172,482,088,643.40x = 44,625,106,354,184,539,602,944
  5. Step 5: Solve for x
    x = 44,625,106,354,184,539,602,944/172,482,088,643.40
  6. Step 6: Final answer
    x = 258,723,132,965.10

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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.