Finding the Fourth Proportional to 7,962,265,604,257.10, 11,943,937,768,558 and 2,798,482,825,852.50
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Solution
The fourth proportional to 7,962,265,604,257.10, 11,943,937,768,558 and 2,798,482,825,852.50 is: 4,197,913,807,407.99
Step by Step Solution
- Step 1: Write the proportion equation
7,962,265,604,257.10 : 11,943,937,768,558 = 2,798,482,825,852.50 : x - Step 2: Convert to fraction form
7,962,265,604,257.10/11,943,937,768,558 = 2,798,482,825,852.50/x - Step 3: Cross multiply
7,962,265,604,257.10x = 11,943,937,768,558 × 2,798,482,825,852.50 - Step 4: Simplify right side
7,962,265,604,257.10x = 33,424,904,718,360,593,779,654,656 - Step 5: Solve for x
x = 33,424,904,718,360,593,779,654,656/7,962,265,604,257.10 - Step 6: Final answer
x = 4,197,913,807,407.99
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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.