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Finding the Fourth Proportional to 435,480,653.70, 653,220,980.55 and 432,457,344.90

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Solution

The fourth proportional to 435,480,653.70, 653,220,980.55 and 432,457,344.90 is: 648,686,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,480,653.70 : 653,220,980.55 = 432,457,344.90 : x
  2. Step 2: Convert to fraction form
    435,480,653.70/653,220,980.55 = 432,457,344.90/x
  3. Step 3: Cross multiply
    435,480,653.70x = 653,220,980.55 × 432,457,344.90
  4. Step 4: Simplify right side
    435,480,653.70x = 282,490,210,881,627,520
  5. Step 5: Solve for x
    x = 282,490,210,881,627,520/435,480,653.70
  6. Step 6: Final answer
    x = 648,686,017.35

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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.