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Finding the Fourth Proportional to 613,602,802.98, 920,533,470.19 and 199,047,255.01

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Solution

The fourth proportional to 613,602,802.98, 920,533,470.19 and 199,047,255.01 is: 298,612,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,602,802.98 : 920,533,470.19 = 199,047,255.01 : x
  2. Step 2: Convert to fraction form
    613,602,802.98/920,533,470.19 = 199,047,255.01/x
  3. Step 3: Cross multiply
    613,602,802.98x = 920,533,470.19 × 199,047,255.01
  4. Step 4: Simplify right side
    613,602,802.98x = 183,229,660,386,149,152
  5. Step 5: Solve for x
    x = 183,229,660,386,149,152/613,602,802.98
  6. Step 6: Final answer
    x = 298,612,815.16

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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.