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Finding the Fourth Proportional to 610,416,014.20, 915,624,021.30 and 586,607,457.40

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Solution

The fourth proportional to 610,416,014.20, 915,624,021.30 and 586,607,457.40 is: 879,911,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416,014.20 : 915,624,021.30 = 586,607,457.40 : x
  2. Step 2: Convert to fraction form
    610,416,014.20/915,624,021.30 = 586,607,457.40/x
  3. Step 3: Cross multiply
    610,416,014.20x = 915,624,021.30 × 586,607,457.40
  4. Step 4: Simplify right side
    610,416,014.20x = 537,111,879,069,156,416
  5. Step 5: Solve for x
    x = 537,111,879,069,156,416/610,416,014.20
  6. Step 6: Final answer
    x = 879,911,186.10

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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.