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Finding the Fourth Proportional to 21,638,656,938.40, 32,457,985,407.60 and 21,638,656,938.40

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Solution

The fourth proportional to 21,638,656,938.40, 32,457,985,407.60 and 21,638,656,938.40 is: 32,457,985,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638,656,938.40 : 32,457,985,407.60 = 21,638,656,938.40 : x
  2. Step 2: Convert to fraction form
    21,638,656,938.40/32,457,985,407.60 = 21,638,656,938.40/x
  3. Step 3: Cross multiply
    21,638,656,938.40x = 32,457,985,407.60 × 21,638,656,938.40
  4. Step 4: Simplify right side
    21,638,656,938.40x = 702,347,211,146,649,665,536
  5. Step 5: Solve for x
    x = 702,347,211,146,649,665,536/21,638,656,938.40
  6. Step 6: Final answer
    x = 32,457,985,407.60

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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.