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Finding the Fourth Proportional to 1,411,607,846.83, 1,948,008,061.66 and 776,514,668.00

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Solution

The fourth proportional to 1,411,607,846.83, 1,948,008,061.66 and 776,514,668.00 is: 1,071,584,319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,607,846.83 : 1,948,008,061.66 = 776,514,668.00 : x
  2. Step 2: Convert to fraction form
    1,411,607,846.83/1,948,008,061.66 = 776,514,668.00/x
  3. Step 3: Cross multiply
    1,411,607,846.83x = 1,948,008,061.66 × 776,514,668.00
  4. Step 4: Simplify right side
    1,411,607,846.83x = 1,512,656,833,247,615,744
  5. Step 5: Solve for x
    x = 1,512,656,833,247,615,744/1,411,607,846.83
  6. Step 6: Final answer
    x = 1,071,584,319.01

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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.