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Finding the Fourth Proportional to 552,995,134.40, 829,492,701.60 and 464,311,409.60

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Solution

The fourth proportional to 552,995,134.40, 829,492,701.60 and 464,311,409.60 is: 696,467,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,995,134.40 : 829,492,701.60 = 464,311,409.60 : x
  2. Step 2: Convert to fraction form
    552,995,134.40/829,492,701.60 = 464,311,409.60/x
  3. Step 3: Cross multiply
    552,995,134.40x = 829,492,701.60 × 464,311,409.60
  4. Step 4: Simplify right side
    552,995,134.40x = 385,142,925,532,808,192
  5. Step 5: Solve for x
    x = 385,142,925,532,808,192/552,995,134.40
  6. Step 6: Final answer
    x = 696,467,114.40

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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.