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Finding the Fourth Proportional to 206,876,706,688.45, 310,315,060,032.68 and 206,876,706,688.45

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Solution

The fourth proportional to 206,876,706,688.45, 310,315,060,032.68 and 206,876,706,688.45 is: 310,315,060,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876,706,688.45 : 310,315,060,032.68 = 206,876,706,688.45 : x
  2. Step 2: Convert to fraction form
    206,876,706,688.45/310,315,060,032.68 = 206,876,706,688.45/x
  3. Step 3: Cross multiply
    206,876,706,688.45x = 310,315,060,032.68 × 206,876,706,688.45
  4. Step 4: Simplify right side
    206,876,706,688.45x = 64,196,957,655,389,492,477,952
  5. Step 5: Solve for x
    x = 64,196,957,655,389,492,477,952/206,876,706,688.45
  6. Step 6: Final answer
    x = 310,315,060,032.68

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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.