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Finding the Fourth Proportional to 446,943,931.45, 670,415,897.18 and 446,943,931.45

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Solution

The fourth proportional to 446,943,931.45, 670,415,897.18 and 446,943,931.45 is: 670,415,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,943,931.45 : 670,415,897.18 = 446,943,931.45 : x
  2. Step 2: Convert to fraction form
    446,943,931.45/670,415,897.18 = 446,943,931.45/x
  3. Step 3: Cross multiply
    446,943,931.45x = 670,415,897.18 × 446,943,931.45
  4. Step 4: Simplify right side
    446,943,931.45x = 299,638,316,792,208,128
  5. Step 5: Solve for x
    x = 299,638,316,792,208,128/446,943,931.45
  6. Step 6: Final answer
    x = 670,415,897.18

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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.