Finding the Fourth Proportional to 749,533,095,211.84, 1,034,355,671,392.40 and 428,748,930,319.84
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Solution
The fourth proportional to 749,533,095,211.84, 1,034,355,671,392.40 and 428,748,930,319.84 is: 591,673,523,841.41
Step by Step Solution
- Step 1: Write the proportion equation
749,533,095,211.84 : 1,034,355,671,392.40 = 428,748,930,319.84 : x - Step 2: Convert to fraction form
749,533,095,211.84/1,034,355,671,392.40 = 428,748,930,319.84/x - Step 3: Cross multiply
749,533,095,211.84x = 1,034,355,671,392.40 × 428,748,930,319.84 - Step 4: Simplify right side
749,533,095,211.84x = 443,478,887,679,751,465,467,904 - Step 5: Solve for x
x = 443,478,887,679,751,465,467,904/749,533,095,211.84 - Step 6: Final answer
x = 591,673,523,841.41
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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.