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Finding the Fourth Proportional to 478,709,292.16, 660,590,352.66 and 277,750,598.68

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Solution

The fourth proportional to 478,709,292.16, 660,590,352.66 and 277,750,598.68 is: 383,279,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,709,292.16 : 660,590,352.66 = 277,750,598.68 : x
  2. Step 2: Convert to fraction form
    478,709,292.16/660,590,352.66 = 277,750,598.68/x
  3. Step 3: Cross multiply
    478,709,292.16x = 660,590,352.66 × 277,750,598.68
  4. Step 4: Simplify right side
    478,709,292.16x = 183,479,365,933,547,328
  5. Step 5: Solve for x
    x = 183,479,365,933,547,328/478,709,292.16
  6. Step 6: Final answer
    x = 383,279,307.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.