Finding the Fourth Proportional to 2,224,651,429,211.70, 3,336,977,143,817.60 and 549,617,421,659.70
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Solution
The fourth proportional to 2,224,651,429,211.70, 3,336,977,143,817.60 and 549,617,421,659.70 is: 824,426,132,489.56
Step by Step Solution
- Step 1: Write the proportion equation
2,224,651,429,211.70 : 3,336,977,143,817.60 = 549,617,421,659.70 : x - Step 2: Convert to fraction form
2,224,651,429,211.70/3,336,977,143,817.60 = 549,617,421,659.70/x - Step 3: Cross multiply
2,224,651,429,211.70x = 3,336,977,143,817.60 × 549,617,421,659.70 - Step 4: Simplify right side
2,224,651,429,211.70x = 1,834,060,773,922,379,441,111,040 - Step 5: Solve for x
x = 1,834,060,773,922,379,441,111,040/2,224,651,429,211.70 - Step 6: Final answer
x = 824,426,132,489.56
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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.