Finding the Fourth Proportional to 477,107,118,079.04, 715,655,960,924.84 and 218,584,539,449.92
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Solution
The fourth proportional to 477,107,118,079.04, 715,655,960,924.84 and 218,584,539,449.92 is: 327,874,648,471.35
Step by Step Solution
- Step 1: Write the proportion equation
477,107,118,079.04 : 715,655,960,924.84 = 218,584,539,449.92 : x - Step 2: Convert to fraction form
477,107,118,079.04/715,655,960,924.84 = 218,584,539,449.92/x - Step 3: Cross multiply
477,107,118,079.04x = 715,655,960,924.84 × 218,584,539,449.92 - Step 4: Simplify right side
477,107,118,079.04x = 156,431,328,623,346,099,159,040 - Step 5: Solve for x
x = 156,431,328,623,346,099,159,040/477,107,118,079.04 - Step 6: Final answer
x = 327,874,648,471.35
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.