Finding the Fourth Proportional to 1,658,595,798,509.70, 2,487,893,697,764.60 and 466,115,533,367.68
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Solution
The fourth proportional to 1,658,595,798,509.70, 2,487,893,697,764.60 and 466,115,533,367.68 is: 699,173,300,051.53
Step by Step Solution
- Step 1: Write the proportion equation
1,658,595,798,509.70 : 2,487,893,697,764.60 = 466,115,533,367.68 : x - Step 2: Convert to fraction form
1,658,595,798,509.70/2,487,893,697,764.60 = 466,115,533,367.68/x - Step 3: Cross multiply
1,658,595,798,509.70x = 2,487,893,697,764.60 × 466,115,533,367.68 - Step 4: Simplify right side
1,658,595,798,509.70x = 1,159,645,897,895,636,226,801,664 - Step 5: Solve for x
x = 1,159,645,897,895,636,226,801,664/1,658,595,798,509.70 - Step 6: Final answer
x = 699,173,300,051.53
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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.