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Finding the Fourth Proportional to 478,386,031.80, 671,554,429.80 and 478,386,031.80

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Solution

The fourth proportional to 478,386,031.80, 671,554,429.80 and 478,386,031.80 is: 671,554,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,386,031.80 : 671,554,429.80 = 478,386,031.80 : x
  2. Step 2: Convert to fraction form
    478,386,031.80/671,554,429.80 = 478,386,031.80/x
  3. Step 3: Cross multiply
    478,386,031.80x = 671,554,429.80 × 478,386,031.80
  4. Step 4: Simplify right side
    478,386,031.80x = 321,262,258,809,733,632
  5. Step 5: Solve for x
    x = 321,262,258,809,733,632/478,386,031.80
  6. Step 6: Final answer
    x = 671,554,429.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.