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Finding the Fourth Proportional to 562,364,211.56, 776,003,531.34 and 311,462,030.77

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Solution

The fourth proportional to 562,364,211.56, 776,003,531.34 and 311,462,030.77 is: 429,784,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,364,211.56 : 776,003,531.34 = 311,462,030.77 : x
  2. Step 2: Convert to fraction form
    562,364,211.56/776,003,531.34 = 311,462,030.77/x
  3. Step 3: Cross multiply
    562,364,211.56x = 776,003,531.34 × 311,462,030.77
  4. Step 4: Simplify right side
    562,364,211.56x = 241,695,635,755,075,712
  5. Step 5: Solve for x
    x = 241,695,635,755,075,712/562,364,211.56
  6. Step 6: Final answer
    x = 429,784,881.02

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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.