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Finding the Fourth Proportional to 435,483,671.60, 653,225,507.40 and 432,460,362.80

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Solution

The fourth proportional to 435,483,671.60, 653,225,507.40 and 432,460,362.80 is: 648,690,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,483,671.60 : 653,225,507.40 = 432,460,362.80 : x
  2. Step 2: Convert to fraction form
    435,483,671.60/653,225,507.40 = 432,460,362.80/x
  3. Step 3: Cross multiply
    435,483,671.60x = 653,225,507.40 × 432,460,362.80
  4. Step 4: Simplify right side
    435,483,671.60x = 282,494,139,920,418,080
  5. Step 5: Solve for x
    x = 282,494,139,920,418,080/435,483,671.60
  6. Step 6: Final answer
    x = 648,690,544.20

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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.