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Finding the Fourth Proportional to 613,555,762.40, 920,333,643.60 and 546,669,720.80

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Solution

The fourth proportional to 613,555,762.40, 920,333,643.60 and 546,669,720.80 is: 820,004,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,555,762.40 : 920,333,643.60 = 546,669,720.80 : x
  2. Step 2: Convert to fraction form
    613,555,762.40/920,333,643.60 = 546,669,720.80/x
  3. Step 3: Cross multiply
    613,555,762.40x = 920,333,643.60 × 546,669,720.80
  4. Step 4: Simplify right side
    613,555,762.40x = 503,118,535,989,658,688
  5. Step 5: Solve for x
    x = 503,118,535,989,658,688/613,555,762.40
  6. Step 6: Final answer
    x = 820,004,581.20

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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.