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Finding the Fourth Proportional to 760,010,798.64, 1,048,810,522.52 and 412,322,821.68

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Solution

The fourth proportional to 760,010,798.64, 1,048,810,522.52 and 412,322,821.68 is: 569,003,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,010,798.64 : 1,048,810,522.52 = 412,322,821.68 : x
  2. Step 2: Convert to fraction form
    760,010,798.64/1,048,810,522.52 = 412,322,821.68/x
  3. Step 3: Cross multiply
    760,010,798.64x = 1,048,810,522.52 × 412,322,821.68
  4. Step 4: Simplify right side
    760,010,798.64x = 432,448,514,053,121,600
  5. Step 5: Solve for x
    x = 432,448,514,053,121,600/760,010,798.64
  6. Step 6: Final answer
    x = 569,003,117.89

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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.