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Finding the Fourth Proportional to 470,107,810,017.60, 705,161,715,026.40 and 470,107,810,017.60

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Solution

The fourth proportional to 470,107,810,017.60, 705,161,715,026.40 and 470,107,810,017.60 is: 705,161,715,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,107,810,017.60 : 705,161,715,026.40 = 470,107,810,017.60 : x
  2. Step 2: Convert to fraction form
    470,107,810,017.60/705,161,715,026.40 = 470,107,810,017.60/x
  3. Step 3: Cross multiply
    470,107,810,017.60x = 705,161,715,026.40 × 470,107,810,017.60
  4. Step 4: Simplify right side
    470,107,810,017.60x = 331,502,029,559,315,849,805,824
  5. Step 5: Solve for x
    x = 331,502,029,559,315,849,805,824/470,107,810,017.60
  6. Step 6: Final answer
    x = 705,161,715,026.40

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1.5x scale

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.