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Finding the Fourth Proportional to 209,565,130,672.40, 314,347,696,008.60 and 209,565,130,672.40

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Solution

The fourth proportional to 209,565,130,672.40, 314,347,696,008.60 and 209,565,130,672.40 is: 314,347,696,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,565,130,672.40 : 314,347,696,008.60 = 209,565,130,672.40 : x
  2. Step 2: Convert to fraction form
    209,565,130,672.40/314,347,696,008.60 = 209,565,130,672.40/x
  3. Step 3: Cross multiply
    209,565,130,672.40x = 314,347,696,008.60 × 209,565,130,672.40
  4. Step 4: Simplify right side
    209,565,130,672.40x = 65,876,315,990,610,122,113,024
  5. Step 5: Solve for x
    x = 65,876,315,990,610,122,113,024/209,565,130,672.40
  6. Step 6: Final answer
    x = 314,347,696,008.60

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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.