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Finding the Fourth Proportional to 5,354,459,969.40, 8,031,689,954.10 and 5,354,459,969.40

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Solution

The fourth proportional to 5,354,459,969.40, 8,031,689,954.10 and 5,354,459,969.40 is: 8,031,689,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354,459,969.40 : 8,031,689,954.10 = 5,354,459,969.40 : x
  2. Step 2: Convert to fraction form
    5,354,459,969.40/8,031,689,954.10 = 5,354,459,969.40/x
  3. Step 3: Cross multiply
    5,354,459,969.40x = 8,031,689,954.10 × 5,354,459,969.40
  4. Step 4: Simplify right side
    5,354,459,969.40x = 43,005,362,345,860,571,136
  5. Step 5: Solve for x
    x = 43,005,362,345,860,571,136/5,354,459,969.40
  6. Step 6: Final answer
    x = 8,031,689,954.10

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1.5x scale

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.