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Finding the Fourth Proportional to 696,068,224, 960,554,965.44 and 382,802,430.40

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Solution

The fourth proportional to 696,068,224, 960,554,965.44 and 382,802,430.40 is: 528,256,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,068,224 : 960,554,965.44 = 382,802,430.40 : x
  2. Step 2: Convert to fraction form
    696,068,224/960,554,965.44 = 382,802,430.40/x
  3. Step 3: Cross multiply
    696,068,224x = 960,554,965.44 × 382,802,430.40
  4. Step 4: Simplify right side
    696,068,224x = 367,702,775,303,220,032
  5. Step 5: Solve for x
    x = 367,702,775,303,220,032/696,068,224
  6. Step 6: Final answer
    x = 528,256,803.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.