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Finding the Fourth Proportional to 828,822,668.99, 1,143,778,936.40 and 457,547,751.23

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Solution

The fourth proportional to 828,822,668.99, 1,143,778,936.40 and 457,547,751.23 is: 631,417,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,822,668.99 : 1,143,778,936.40 = 457,547,751.23 : x
  2. Step 2: Convert to fraction form
    828,822,668.99/1,143,778,936.40 = 457,547,751.23/x
  3. Step 3: Cross multiply
    828,822,668.99x = 1,143,778,936.40 × 457,547,751.23
  4. Step 4: Simplify right side
    828,822,668.99x = 523,333,480,246,054,592
  5. Step 5: Solve for x
    x = 523,333,480,246,054,592/828,822,668.99
  6. Step 6: Final answer
    x = 631,417,913.42

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