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Finding the Fourth Proportional to 767,413,918.40, 1,076,798,132.80 and 767,413,918.40

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Solution

The fourth proportional to 767,413,918.40, 1,076,798,132.80 and 767,413,918.40 is: 1,076,798,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,413,918.40 : 1,076,798,132.80 = 767,413,918.40 : x
  2. Step 2: Convert to fraction form
    767,413,918.40/1,076,798,132.80 = 767,413,918.40/x
  3. Step 3: Cross multiply
    767,413,918.40x = 1,076,798,132.80 × 767,413,918.40
  4. Step 4: Simplify right side
    767,413,918.40x = 826,349,874,417,851,520
  5. Step 5: Solve for x
    x = 826,349,874,417,851,520/767,413,918.40
  6. Step 6: Final answer
    x = 1,076,798,132.80

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Double scale
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1.5x scale

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.